# Find The Volume Of The Solid Obtained By Rotating The Region

Math Problems Solved Craig Faulhaber 70 views 2:34. x2, y = 13. It is less intuitive than disk integration, but it usually produces simpler integrals. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. About x axis. Finding the volume is much like finding the area, but with an added component of rotating the area around a line of symmetry - usually the x or y axis. When the shaded area is rotated 360° about the y-axis, the volume that is generated can be found by: V=pi int_c^d x^2dy which means V=pi int_c^d {f(y)}^2dy where: x =f(y) is the equation of the curve expressed in terms of y c and d are the upper and lower y limits of the area being rotated. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x^2 + (y-6)^2 = 36. Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 15 – x, y = 3x – 5 and O about the y-axis. Close • Posted by 1 minute ago. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume V of the solid obtained by rotating the region bounded by the from MATH 125 at University of Washington, Tacoma. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. Summer 120201WDAssie Sketch The Solid, And A Typical Disk Or Washer. 1) y=1-x2 y=0 Homework Equations The Attempt at a Solution I sketched a curve. For each of the following, find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line Published by patox82 on 25 June, 2020 25 June, 2020. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. X = Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-9, y=1-e-4 and 0 about = 4. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Find the volume of the solid obtained by rotating the bounded region y = VF and the lines y=2 and x=0 about: the (A) the line y=2 (B) the line x=4 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. Get an answer for 'Find the volume of the solid obtained by rotating about y axis the region between y=x and y=x^2. Solution: Step 1 is to sketch the bounding region and the solid obtained by rotating the region about the x-axis. We will first determine the points of intersection of these two lines so as to. Please help me out with the disk. Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=x^{15/14} about the x-axis over the interval [1,4]. Y = (4/9) x^2, y = (13/9) − x2; about - 16935239. x^2 + (y-6)^2 = 36. 1024 15 y=x2 +1 3 eBook. This may seem complicated, but after a few examples the method will be much clearer. Y - Vx-1, Y = 0, X = 5; About The X-axis V = 210 X Sketch The Region. 100% Upvoted. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. A place to ask questions, give advice and discuss the mathematical field of calculus. Find the volume of the solid obtained by rotating the region A in the figure below about the line y =-3. ANS 8 Find the volume of the solid obtained by rotating the region bounded by from MATH 242 at North Carolina State University. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. Sketch the region, the solid, and a typical disk or washer. ' and find homework help for other Math questions at eNotes. Another method for solving the volume of a solid of revolution is the Shell Method, one which uses thin slices of the revolved region parallel to the axis as heights of thin cylindrical shells. y = 0 , y = - x 4 + 4x 3 - x 2 + 4x The region bounded by the given curves is rotated about the specified axis. Sketch the region, the solid, and a typical disk or washer. Below is a graph of the bounded region. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. y=sqrt(25-x 2) y=0 x=2 x=4 Homework Equations The Attempt at a Solution I drew a graph, region and solid. Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=x^{15/14} about the x-axis over the interval [1,4]. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. $$y=\sin x, y=\cos x, 0 \leqslant x \leqslant \pi / 4 ; \quad \text { about } y=-1$$. Find the volume of the solid obtained by rotating the region bounded by y=1/4 (x^2), x=2 and y=0 about the y-axis. Published by patox82 on 26 June, 2020 26 June, 2020. about y- axis - 2786628. You can find the volume first by rotating this: We can find this by subtracting the volume obtained when the part of the e x curve between 1 ⩽ y ⩽ e is subtracted from the cylinder obtained by rotating the 1 × e rectangle about the y -axis. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. 7k views shell method. This may seem complicated, but after a few examples the method will be much clearer. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. 2HW (Math18) -Math18. Here is a graph of the region. the pool and uses a protractor to gauge the angle of elevation. There are multiple ways to solve this, but I will use the "washers" method. y = 3x, y = 0, x = 1; about x = 2 81284 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. Find the volume of the solid obtained by rotating the region between the graphs of y= x p 2 xand y= 0 around the x-axis. Please help me out with the disk. Published by patox82 on 26 June, 2020 26 June, 2020. ' and find homework help for other Math questions at eNotes. Summer 120201WDAssie Sketch The Solid, And A Typical Disk Or Washer. x = 7y2, x = 7; about x = 7 Guest Feb 1, 2017 0 users composing answers. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. y = 6 −(1/2)x, y = 0, x = 0, x = 1;about the x-axis. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. (1) Recall finding the area under a curve. Sketch the region, the solid, and a typical disk or washer. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. asked by jimmy on May 4, 2007; Calculus. Find the volume of the solid obtained by rotating the region enclosed by the curves f(x) = x^2 + 1 and g(x)=51-x^{2} about the x-axis. Draw three polyhedra that are different from the Platonic solids given in Exploration 1. x + y = 3, x = 4 − (y − 1)2. Sketch the region, the solid, and a typical disk or washer. Find the volume of the solid obtained by rotating the region A in the figure below about the line y=3 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. x = 0, x = 9 − y 2; about x = −1. The answer is (3pi)/5 but I can only get (21pi)/10. Get an answer for 'Find the volume of the solid obtained by rotating about y axis the region between y=x and y=x^2. Below is a graph of the bounded region. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. 9 about the x-axis. Find the volume of the solid obtained by rotating the region enclosed by x=9y, y^3=x, yâ¥0 about the y-axis using the method of disks or washers. Y - Vx-1, Y = 0, X = 5; About The X-axis V = 210 X Sketch The Region. y = 3x, y = 0, x = 1; about x = 2 81284 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Volume of Solid Revolution. Bounded by the coordinate planes and the plane: Calculus: Mar 1, 2018: finding the volume of a solid: Calculus: Nov 15, 2016: Finding the volume of a solid revolved around both the y and x axis: Calculus: Oct 5, 2016: Finding the volume of the solid using washer method (I think) Calculus: Oct 5, 2016. y = 4 − 4x^2, y = 0. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. Sketch the region, the solid,…. X = Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-9, y=1-e-4 and 0 about = 4. 09db3956-4112-3e44-b7e8-f16172a0e38b___a 3. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. 1) y=1-x2 y=0 Homework Equations The Attempt at a Solution I sketched a curve. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5 y = x2, y = 5x. у 6 5 4 3 3 2 2 4 UN (A) 27 Hulu I Watch 6. Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Find the volume of the solid obtained by rotating the region A in the figure below about the x-axis. y = 1/x6, y = 0, x = 2, x = 9;. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. Find the volume of the solid obtained by rotating the region delimited by the curves given around of the specified line. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. Posted 4 years ago. 𝑦 = 1 - 𝑥², 𝑦 = 0, around the x axis. If you have any questions or suggestions regarding the sub, please send the us (the moderators) a message. This has volume π e, and so the desired volume is. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. 2HW (Math18) -Math18. Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x = 4, x ={eq}y^6 {/eq}, x=1 Find the volume of the solid S described below. Please help me out with the disk. Find the volume of the solid obtained by rotating the region delimited by the curves given around of the specified line. Summer 120201WDAssie Sketch The Solid, And A Typical Disk Or Washer. Question: MY NC Find The Volume V Of The Solid Obtained By Rotating The Region Bounded By The Given Curves About The Specified Line. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Get an answer for 'Find the volume of the solid obtained by rotating about y axis the region between y=x and y=x^2. x+y=4,x=5−(y−1) 2 ; asked by jo on October 1, 2014; calculus. I've taken a slice perpendicular to the axis of rotation. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the solid obtained by rotating the region A in the figure below about the x-axis. Volume by Rotating the Area Enclosed Between 2 Curves. Sketch the region, the solid, and a typical disk or washer. Another method for solving the volume of a solid of revolution is the Shell Method, one which uses thin slices of the revolved region parallel to the axis as heights of thin cylindrical shells. 1) y=1-x2 y=0 Homework Equations The Attempt at a Solution I sketched a curve. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. "Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Here is a graph of the region. 2HW (Math18) -Math18. Find the volume of the solid obtained by rotating the region A in the figure below about the line y=3 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Close • Posted by 1 minute ago. Here are both of these sketches. We will first determine the points of intersection of these two lines so as to. About x axis. Published by patox82 on 26 June, 2020 26 June, 2020. x+y=4,x=5−(y−1) 2 ; asked by jo on October 1, 2014; calculus. Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. If we have 2 curves y_2 and y_1 that enclose some area and we rotate that area around the x-axis, then the volume of the solid formed is given by: "Volume"=pi int_a^b[(y_2)^2-(y_1)^2]dx In the following general graph, y_2 is above y_1. ' and find homework help for other Math questions at eNotes. Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. asked by jimmy on May 4, 2007; Calculus. The answer is (3pi)/5 but I can only get (21pi)/10. ' and find homework help for other Math questions at eNotes. y = 3x, y = 0, x = 1; about x = 2 81284 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. x + y = 3, x = 4 − (y − 1)2. save hide report. Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 0 comments. Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x -axis. x=7+(y-5)^2, x=8 I have tried integrating from 0 to …. Find the volume of the solid obtained by rotating the region. Find the volume of the solid obtained by rotating the region enclosed by the curves f(x) = x^2 + 1 and g(x)=51-x^{2} about the x-axis. x = 3/5y, r = 0, y = 3 Find the volume V of this solid. Rotation around the y-axis. y = x, y = 0, x = 2, x = 4; about x = 1. y = 0 , y = - x 4 + 4x 3 - x 2 + 4x The region bounded by the given curves is rotated about the specified axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x, y = 0, x = 1; about x = 2 81284 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Volume by Rotating the Area Enclosed Between 2 Curves. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5 y = x2, y = 5x. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. 1024 15 y=x2 +1 3 eBook. Sketch the region, the solid, and a typical disk or washer. Math Problems Solved Craig Faulhaber 70 views 2:34. 2HW (Math18) -Math18. Find the volume of the solid obtained by rotating the region bounded by y=1/4 (x^2), x=2 and y=0 about the y-axis. Below is a graph of the bounded region. Draw three polyhedra that are different from the Platonic solids given in Exploration 1. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Determine the volume of the solid generated by rotating the region bounded by f (x) x2 4x 5, x 1, x 4 and the x-axis about the x-axis. Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Find the volume of the solid obtained by rotating the region: Calculus: May 12, 2020: find the volume of the solid obtained by rotating the region bounded by Calculus: Nov 11, 2012: Find the volume of the solid obtained by rotating the region bounded by the curves Calculus: Sep 16, 2012 [SOLVED] Volume of solid obtained by rotsting the. 1) y=1-x2 y=0 Homework Equations The Attempt at a Solution I sketched a curve. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use this information to estimate the volume of the solid obtained by rotating about the y-axis the region enclosed by these curves. A place to ask questions, give advice and discuss the mathematical field of calculus. Graph the region, the solid, and a representative disk or washer a. In this video, we look at the volume formula of a solid (obtained by rotating a shaded region in the xy-plane along the y-axis) by this method. Finding the volume is much like finding the area, but with an added component of rotating the area around a line of symmetry - usually the x or y axis. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Get more help from Chegg. Find the volume of the solid obtained by rotating the region. Find the volume of the solid obtained by rotating the region under the graph f(x) = x2 - 3x about the x-axis over the interval [0, 3]. It is less intuitive than disk integration, but it usually produces simpler integrals. Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. 2HW (Math18) -Math18. Loading Autoplay When autoplay is enabled, a. Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=x^{15/14} about the x-axis over the interval [1,4]. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 8 − x2; about the x-axis. Question 967112: Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=(pi)/2 about the line y=1 Answer by amarjeeth123(516) (Show Source):. Get an answer for 'Find the volume of the solid obtained by rotating the region bounded by the given curves: y=x^3, y=0, x=1, about x=2. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. Find the volume of the solid obtained by rotating the region enclosed by the curves f(x) = x^2 + 1 and g(x)=51-x^{2} about the x-axis. (1) Recall finding the area under a curve. about y- axis - 2786628. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. Get more help from Chegg. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x + y = 3, x = 4 − (y − 1)2. Find the volume V of the solid obtained by rotating the region bounded by the from MATH 125 at University of Washington, Tacoma. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5 y = x2, y = 5x. Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Loading Autoplay When autoplay is enabled, a. Find the volume of the solid obtained by rotating the region under the graph f(x) = x2 - 3x about the x-axis over the interval [0, 3]. Get an answer for 'Find the volume of the solid obtained by rotating about y axis the region between y=x and y=x^2. Published by patox82 on 26 June, 2020 26 June, 2020. Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x = 4, x ={eq}y^6 {/eq}, x=1 Find the volume of the solid S described below. Finding the volume is much like finding the area, but with an added component of rotating the area around a line of symmetry - usually the x or y axis. x+y=4,x=5−(y−1) 2 ; asked by jo on October 1, 2014; calculus. The answer is (3pi)/5 but I can only get (21pi)/10. Visit Stack Exchange. y = 5 8 x2, y = 13 0. When the shaded area is rotated 360° about the y-axis, the volume that is generated can be found by: V=pi int_c^d x^2dy which means V=pi int_c^d {f(y)}^2dy where: x =f(y) is the equation of the curve expressed in terms of y c and d are the upper and lower y limits of the area being rotated. y = 3x, y = 0, x = 1; about x = 2 81284 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. The thickness of the slice is dy, so we need the equations in the form x = a function of y. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the x-axis? I have another question too. I've taken a slice perpendicular to the axis of rotation. ' and find homework help for other Math questions at eNotes. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. In this video, we look at the volume formula of a solid (obtained by rotating a shaded region in the xy-plane along the y-axis) by this method. The solid produced when rotating this region about the line $y=7$, when cut perpendicular to the x-axis, has cross sections that look like "washers", or circles. Solid of Revolution - Finding Volume by Rotation. 0 comments. If we have 2 curves y_2 and y_1 that enclose some area and we rotate that area around the x-axis, then the volume of the solid formed is given by: "Volume"=pi int_a^b[(y_2)^2-(y_1)^2]dx In the following general graph, y_2 is above y_1. Loading Autoplay When autoplay is enabled, a. (1) Recall finding the area under a curve. This may seem complicated, but after a few examples the method will be much clearer. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. x2, y = 13. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5 y = x2, y = 5x. We want the volume of the solid formed by rotating the region inside the first quadrant enclosed by the lines $y=x^2$ and $y=5x$ about the X-axis. Summer 120201WDAssie Sketch The Solid, And A Typical Disk Or Washer. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 09db3956-4112-3e44-b7e8-f16172a0e38b___a 3. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. A place to ask questions, give advice and discuss the mathematical field of calculus. Sketch the region, the solid,…. Visit Stack Exchange. Published by patox82 on 26 June, 2020 26 June, 2020. Find the volume of the solid obtained by rotating the bounded region y = VF and the lines y=2 and x=0 about: the (A) the line y=2 (B) the line x=4 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. 100% Upvoted. Bounded by the coordinate planes and the plane: Calculus: Mar 1, 2018: finding the volume of a solid: Calculus: Nov 15, 2016: Finding the volume of a solid revolved around both the y and x axis: Calculus: Oct 5, 2016: Finding the volume of the solid using washer method (I think) Calculus: Oct 5, 2016. about y- axis - 2786628. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. Find the volume of the solid obtained by rotating the region delimited by the curves given around of the specified line. Question 967112: Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=(pi)/2 about the line y=1 Answer by amarjeeth123(516) (Show Source):. This may seem complicated, but after a few examples the method will be much clearer. x = 3/5y, r = 0, y = 3 Find the volume V of this solid. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 8 x2, y = 13 0. Sketch the region, the solid,…. Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5 y = x2, y = 5x. Find the volume of the solid obtained by rotating the region A in the figure below about the line y =-3. Math Problems Solved Craig Faulhaber 70 views 2:34. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. Solid of Revolution - Finding Volume by Rotation. Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. 3805fe1a-31bc-3dce-92e3-04280ddcaf9e___7. $$y=\sin x, y=\cos x, 0 \leqslant x \leqslant \pi / 4 ; \quad \text { about } y=-1$$. "Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. The slice is taken at a variable value of y. Bounded by the coordinate planes and the plane: Calculus: Mar 1, 2018: finding the volume of a solid: Calculus: Nov 15, 2016: Finding the volume of a solid revolved around both the y and x axis: Calculus: Oct 5, 2016: Finding the volume of the solid using washer method (I think) Calculus: Oct 5, 2016. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Rotation around the y-axis. The shell methodis a method of calculating the volume of a solid of revolution when integrating along an axis parallel to the axis of revolution. Question 967112: Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=(pi)/2 about the line y=1 Answer by amarjeeth123(516) (Show Source):. Loading Autoplay When autoplay is enabled, a. You can find the volume first by rotating this: We can find this by subtracting the volume obtained when the part of the e x curve between 1 ⩽ y ⩽ e is subtracted from the cylinder obtained by rotating the 1 × e rectangle about the y -axis. find the volume of the solid formed by rotating the region enclosed by y=e^2x , y=0, x=0 , x=0. Volume of Solid Revolution. Another method for solving the volume of a solid of revolution is the Shell Method, one which uses thin slices of the revolved region parallel to the axis as heights of thin cylindrical shells. Sketch the region, the solid, and a typical disk or washer. find the volume of the solid obtained by rotating the region bounded by y=4x^2,x=1,y=0 about the x-axis? I have another question too. x=7+(y-5)^2, x=8 I have tried integrating from 0 to …. About x axis. The solid produced when rotating this region about the line $y=7$, when cut perpendicular to the x-axis, has cross sections that look like "washers", or circles. Find the volume of the solid obtained by rotating the region enclosed by the curves f(x) = x^2 + 1 and g(x)=51-x^{2} about the x-axis. Find the volume of the solid obtained by rotating the region: Calculus: May 12, 2020: find the volume of the solid obtained by rotating the region bounded by Calculus: Nov 11, 2012: Find the volume of the solid obtained by rotating the region bounded by the curves Calculus: Sep 16, 2012 [SOLVED] Volume of solid obtained by rotsting the. y = =1 - 9x2, y = 0 Find the volume V of this solid. 9 about the x-axis. Y - Vx-1, Y = 0, X = 5; About The X-axis V = 210 X Sketch The Region. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. It is less intuitive than disk integration, but it usually produces simpler integrals. 𝑦 = 2 − 1 2 𝑥, 𝑦 = 0, 𝑥 = 2; around the x axis b. Find the volume of the solid obtained by rotating the bounded region y = VF and the lines y=2 and x=0 about: the (A) the line y=2 (B) the line x=4 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Close • Posted by 1 minute ago. x = 3/5y, r = 0, y = 3 Find the volume V of this solid. Finding the volume is much like finding the area, but with an added component of rotating the area around a line of symmetry - usually the x or y axis. about y- axis - 2786628. ' and find homework help for other Math questions at eNotes. Find the volume of the solid obtained by rotating the region. 2HW (Math18) -Math18. 0 comments. Close • Posted by 1 minute ago. Find the volume of the solid obtained by rotating the region bounded by y=x^6, y=1 about the line y=4 asked Sep 15, 2011 in Calculus Answers by anonymous | 1. ' and find homework help for other Math questions at eNotes. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. Sketch the region, the solid, and a typical disk or washer. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. 100% Upvoted. Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. about y- axis - 2786628. The answer is (3pi)/5 but I can only get (21pi)/10. Another method for solving the volume of a solid of revolution is the Shell Method, one which uses thin slices of the revolved region parallel to the axis as heights of thin cylindrical shells. Summer 120201WDAssie Sketch The Solid, And A Typical Disk Or Washer. When the shaded area is rotated 360° about the y-axis, the volume that is generated can be found by: V=pi int_c^d x^2dy which means V=pi int_c^d {f(y)}^2dy where: x =f(y) is the equation of the curve expressed in terms of y c and d are the upper and lower y limits of the area being rotated. y = 3x, y = 0, x = 1; about x = 2 81284 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Find the volume of the solid obtained by rotating the region enclosed by the lines… 2 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x -axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. For each of the following, find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line Published by patox82 on 25 June, 2020 25 June, 2020. Here is a graph of the region. Draw three polyhedra that are different from the Platonic solids given in Exploration 1. x^2 + (y-6)^2 = 36. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. Find the volume V of the solid obtained by rotating the region bounded by the from MATH 125 at University of Washington, Tacoma. Sketch the region, the solid, and a typical disk or washer. The shell methodis a method of calculating the volume of a solid of revolution when integrating along an axis parallel to the axis of revolution. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. There are multiple ways to solve this, but I will use the "washers" method. Get an answer for 'Find the volume of the solid obtained by rotating about y axis the region between y=x and y=x^2. Find the volume of the solid obtained by rotating the region bounded by y=x^6, y=1 about the line y=4 asked Sep 15, 2011 in Calculus Answers by anonymous | 1. Draw three polyhedra that are different from the Platonic solids given in Exploration 1. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Find the volume of the solid obtained by rotating the region: Calculus: May 12, 2020: find the volume of the solid obtained by rotating the region bounded by Calculus: Nov 11, 2012: Find the volume of the solid obtained by rotating the region bounded by the curves Calculus: Sep 16, 2012 [SOLVED] Volume of solid obtained by rotsting the. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. y=sqrt(25-x 2) y=0 x=2 x=4 Homework Equations The Attempt at a Solution I drew a graph, region and solid. the pool and uses a protractor to gauge the angle of elevation. Graph the region, the solid, and a representative disk or washer a. Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. about y- axis - 2786628. y = x, y = 0, x = 2, x = 4; about x = 1. Question: MY NC Find The Volume V Of The Solid Obtained By Rotating The Region Bounded By The Given Curves About The Specified Line. "Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y=4+3xâx^2 and y+x=4 and y+x=4 about the y-axis. Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. The volume of the solid obtained by rotating a region about a specific line from a to b is given by. Bounded by the coordinate planes and the plane: Calculus: Mar 1, 2018: finding the volume of a solid: Calculus: Nov 15, 2016: Finding the volume of a solid revolved around both the y and x axis: Calculus: Oct 5, 2016: Finding the volume of the solid using washer method (I think) Calculus: Oct 5, 2016. It is less intuitive than disk integration, but it usually produces simpler integrals. Published by patox82 on 26 June, 2020 26 June, 2020. x^2 + (y-6)^2 = 36. Find the volume of the solid obtained by rotating the region A in the figure below about the line y =-3. Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. Find the volume of the solid obtained by rotating the region delimited by the curves given around of the specified line. Find the volume of the solid obtained by rotating the region bounded by y=x^6, y=1 about the line y=4 asked Sep 15, 2011 in Calculus Answers by anonymous | 1. y = 1/x6, y = 0, x = 2, x = 9;. A place to ask questions, give advice and discuss the mathematical field of calculus. Rotation around the y-axis. asked by jimmy on May 4, 2007; Calculus. Question 967112: Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=(pi)/2 about the line y=1 Answer by amarjeeth123(516) (Show Source):. Please see below. Sketch the region, the solid, and a typical disk or washer. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. About x axis. Y - Vx-1, Y = 0, X = 5; About The X-axis V = 210 X Sketch The Region. Visit Stack Exchange. x = 3/5y, r = 0, y = 3 Find the volume V of this solid. Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Find the volume of the solid obtained by rotating the region enclosed by the lines… 2 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 1/x6, y = 0, x = 2, x = 9;. volume = pi/2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. x^2 + (y-6)^2 = 36. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Sketch the region, the solid, and a typical disk or washer. Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. The slice is taken at a variable value of y. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. x=7+(y-5)^2, x=8 I have tried integrating from 0 to …. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. 9 about the x-axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 4 − 4x^2, y = 0. You can find the volume first by rotating this: We can find this by subtracting the volume obtained when the part of the e x curve between 1 ⩽ y ⩽ e is subtracted from the cylinder obtained by rotating the 1 × e rectangle about the y -axis. Then use this information to estimate the volume of the solid obtained by rotating about the y-axis the region enclosed by these curves. Get an answer for 'Find the volume of the solid obtained by rotating about y axis the region between y=x and y=x^2. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 3/5y, r = 0, y = 3 Find the volume V of this solid. Graph the region, the solid, and a representative disk or washer a. Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, x = 2, x = 4; about x = 1. (5 marks) 7 The diagram shows the finite region R, which is bounded 2 by the curve y3 + x2 — 2)' = 4 and the x-axis. Please help me out with the disk. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves below about the line x=5 y = x2, y = 5x. 𝑦 = 1 - 𝑥², 𝑦 = 0, around the x axis. Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x -axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. We want the volume of the solid formed by rotating the region inside the first quadrant enclosed by the lines $y=x^2$ and $y=5x$ about the X-axis. Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. Sketch the region, the solid, and a typical disk or washer. y = =1 - 9x2, y = 0 Find the volume V of this solid. Loading Autoplay When autoplay is enabled, a. Then use this information to estimate the volume of the solid obtained by rotating about the y-axis the region enclosed by these curves. Please read the FAQ before posting. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Visit Stack Exchange. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. 100% Upvoted. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 1/x^3, y = 0, x = 2, x = 4; about x = −1" Hi, could anybody give me some direction as how to solve this problem? I know that the integration is with respect to y, but I do not know what the inner and outer radii are. x = 7y2, x = 7; about x = 7 Guest Feb 1, 2017 0 users composing answers. y = 6 −(1/2)x, y = 0, x = 0, x = 1;about the x-axis. Find the volume of the solid, S, obtained by rotating R about the y-axis. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. Y - Vx-1, Y = 0, X = 5; About The X-axis V = 210 X Sketch The Region. Sketch the region, the solid,…. Find the volume of the solid obtained by rotating the region under the graph f(x) = x2 - 3x about the x-axis over the interval [0, 3]. 1) y=1-x2 y=0 Homework Equations The Attempt at a Solution I sketched a curve. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. 2HW (Math18) -Math18. I've taken a slice perpendicular to the axis of rotation. Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x -axis. Sketch the region, the solid, and a typical disk or washer. Volume by Rotating the Area Enclosed Between 2 Curves. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. x = 3/5y, r = 0, y = 3 Find the volume V of this solid. Find the volume of the solid obtained by rotating the region bounded by y=x^6, y=1 about the line y=4 asked Sep 15, 2011 in Calculus Answers by anonymous | 1. Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y=4+3xâx^2 and y+x=4 and y+x=4 about the y-axis. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 0 , y = - x 4 + 4x 3 - x 2 + 4x The region bounded by the given curves is rotated about the specified axis. asked by jimmy on May 4, 2007; Calculus. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the y-axis. y=sqrt(25-x 2) y=0 x=2 x=4 Homework Equations The Attempt at a Solution I drew a graph, region and solid. Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. 2HW (Math18) -Math18. About x axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Volume of Solid Revolution. If we have 2 curves y_2 and y_1 that enclose some area and we rotate that area around the x-axis, then the volume of the solid formed is given by: "Volume"=pi int_a^b[(y_2)^2-(y_1)^2]dx In the following general graph, y_2 is above y_1. Loading Autoplay When autoplay is enabled, a. Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=x^{15/14} about the x-axis over the interval [1,4]. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Sketch the region, the solid, and a typical disk or washer. Here are both of these sketches. Find the volume of the solid obtained by rotating the region A in the figure below about the line y=3 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Find the volume of the solid obtained by rotating the region under the graph f(x) = x2 - 3x about the x-axis over the interval [0, 3]. x = 0, x = 9 − y 2; about x = −1. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. If you have any questions or suggestions regarding the sub, please send the us (the moderators) a message. "Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Draw three polyhedra that are different from the Platonic solids given in Exploration 1. Bounded by the coordinate planes and the plane: Calculus: Mar 1, 2018: finding the volume of a solid: Calculus: Nov 15, 2016: Finding the volume of a solid revolved around both the y and x axis: Calculus: Oct 5, 2016: Finding the volume of the solid using washer method (I think) Calculus: Oct 5, 2016. Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. Find the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. the pool and uses a protractor to gauge the angle of elevation. Please round the answers to the nearest hundredth. Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the given solid. This has volume π e, and so the desired volume is. Summer 120201WDAssie Sketch The Solid, And A Typical Disk Or Washer. x^2 + (y-6)^2 = 36. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x + y = 3, x = 4 − (y − 1)2. 2HW (Math18) -Math18. Find the volume of the solid obtained by rotating the region between the graphs of y= x p 2 xand y= 0 around the x-axis. Find the volume of the solid obtained by rotating the region bounded by y=1/4 (x^2), x=2 and y=0 about the y-axis. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. The slice is taken at a variable value of y. (5 marks) 7 The diagram shows the finite region R, which is bounded 2 by the curve y3 + x2 — 2)' = 4 and the x-axis. Find the volume of the solid obtained by rotating the region enclosed by the curves f(x) = x^2 + 1 and g(x)=51-x^{2} about the x-axis. about y- axis - 2786628. $y = x$ , $y = 0$ , $x = 2$ , $x = 4$ ; about $x = 1$. Loading Autoplay When autoplay is enabled, a. Solution: Step 1 is to sketch the bounding region and the solid obtained by rotating the region about the x-axis. 1024 15 y=x2 +1 3 eBook Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. Close • Posted by 1 minute ago. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. Sketch the region, the solid, and a typical disk or washer. Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. Published by patox82 on 26 June, 2020 26 June, 2020. asked by jimmy on May 4, 2007; Calculus. Please read the FAQ before posting. 7k views shell method. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Question 967112: Find the volume of the solid obtained by rotating the region bounded by the curves y=cos(x), y=0, x=0, and x=(pi)/2 about the line y=1 Answer by amarjeeth123(516) (Show Source):. Find the volume of the solid obtained by rotating the bounded region y = VF and the lines y=2 and x=0 about: the (A) the line y=2 (B) the line x=4 Get more help from Chegg Get 1:1 help now from expert Calculus tutors Solve it with our calculus problem solver and calculator. y = 4 − 4x^2, y = 0. Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 15 – x, y = 3x – 5 and O about the y-axis. (1) Recall finding the area under a curve. 0 comments. Examples 6 | Find the volume of the solid using the method of cylindrical shells 7 | Find the volume of the solid. 𝑦 = 2 − 1 2 𝑥, 𝑦 = 0, 𝑥 = 2; around the x axis b. The thickness of the slice is dy, so we need the equations in the form x = a function of y. Find the volume of the solid formed by rotating the region bounded by y=x^2, x=2, x=3, y=0 about x=5 - Duration: 2:34. y = x, y = 0, x = 2, x = 4; about x = 1. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. 9 about the x-axis. 0 comments. 100% Upvoted. Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x2, y = 13. volume = pi/2. x^2 + (y-6)^2 = 36. 7k views shell method. 09db3956-4112-3e44-b7e8-f16172a0e38b___a 3. x^2 + (y-6)^2 = 36. Below is a graph of the bounded region. (1) Recall finding the area under a curve. Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the solid obtained by rotating the region bounded by the given curves y= e^-x, y= 1, x= 2; - Answered by a verified Math Tutor or Teacher. It is a good idea to graph the curves before integrating: Courtesy of Desmos As the curves are being rotated about the $x$-axis, we need to find their $x$-coordinates of intersection. Sketch the region, the solid, and a typical disk or washer. We will first determine the points of intersection of these two lines so as to. Get more help from Chegg. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. 09db3956-4112-3e44-b7e8-f16172a0e38b___a 3. About x axis. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. The shell methodis a method of calculating the volume of a solid of revolution when integrating along an axis parallel to the axis of revolution. In this video, we look at the volume formula of a solid (obtained by rotating a shaded region in the xy-plane along the y-axis) by this method. Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. Solid of Revolution - Finding Volume by Rotation. Find the volume of the solid obtained by rotating the region enclosed by x=9y, y^3=x, yâ¥0 about the y-axis using the method of disks or washers. Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. X = Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-9, y=1-e-4 and 0 about = 4. Please read the FAQ before posting. Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=x^{15/14} about the x-axis over the interval [1,4]. Another method for solving the volume of a solid of revolution is the Shell Method, one which uses thin slices of the revolved region parallel to the axis as heights of thin cylindrical shells. There are multiple ways to solve this, but I will use the "washers" method. Please round the answers to the nearest hundredth. The answer is (3pi)/5 but I can only get `(21pi)/10. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Math Problems Solved Craig Faulhaber 70 views 2:34. Below is a graph of the bounded region. This has volume π e, and so the desired volume is. The slice is taken at a variable value of y. Draw three polyhedra that are different from the Platonic solids given in Exploration 1. Visit Stack Exchange. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis. X = Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-9, y=1-e-4 and 0 about = 4. Find the volume of the solid obtained by rotating the region enclosed by the curves f(x) = x^2 + 1 and g(x)=51-x^{2} about the x-axis. Bounded by the coordinate planes and the plane: Calculus: Mar 1, 2018: finding the volume of a solid: Calculus: Nov 15, 2016: Finding the volume of a solid revolved around both the y and x axis: Calculus: Oct 5, 2016: Finding the volume of the solid using washer method (I think) Calculus: Oct 5, 2016. Solid of Revolution - Finding Volume by Rotation. Another method for solving the volume of a solid of revolution is the Shell Method, one which uses thin slices of the revolved region parallel to the axis as heights of thin cylindrical shells. About x axis. y = =1 - 9x2, y = 0 Find the volume V of this solid. Sketch the region, the solid, and a typical disk or washer. Show transcribed image text (1 pt) Find the volume of the solid obtained by rotating the region bounded by the given curves about the y-axis: y = x^2/3, x = 1 and y = 0. It is less intuitive than disk integration, but it usually produces simpler integrals. Get an answer for 'Find the volume of the solid obtained by rotating the region bounded by the given curves: y=x^3, y=0, x=1, about x=2. Find the volume V of the solid obtained by rotating the region enclosed by the graphs of y = e −x, y = 1 − e −x, and x = 0 about y = 2. Finding the volume of a solid revolution is a method of calculating the volume of a 3D object formed by a rotated area of a 2D space. ' and find homework help for other Math questions at eNotes. asked by jimmy on May 4, 2007; Calculus. We want the volume of the solid formed by rotating the region inside the first quadrant enclosed by the lines $y=x^2$ and $y=5x$ about the X-axis. Loading Autoplay When autoplay is enabled, a. Solution for Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Find the volume of the solid obtained by rotating the region. the pool and uses a protractor to gauge the angle of elevation.
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