Volume by shells method of graphs y=(x-2)^1/2 Andy=2 around x axis and around y=-2

question is flawed

How can you rotate around the x-axis AND around y = -2 ?
Secondly your solid is not closed on the right side, so the volume would be infinitely large.

Similar Questions

The volume of the solid obtained by rotating the region bounded by y=e^x, y=Inx, x=1, and x=2 about the line y-axis can be

Top answer: Draw the curves. v = ∫[1,2] 2πrh dx where r=x and h=e^x-ln(x) v = ∫[1,2] 2πx(e^x-lnx) dx = Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: the curves intersect where 8-x^2 = x^2 x = ±2 so, using shells, v = ∫[-2,2] 2πrh dx where r = Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: To find the volume using the method of cylindrical shells, we need to integrate the shell volume Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: each shell has thickness dx, so v = ∫[1,3] 2πrh dx where r=x-1 and h=y-3 v = ∫[1,3] Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: To find the volume generated by rotating the region bounded by the curves y = 32 − x² and y = x² Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: Each shell has thickness dx, so v = ∫[0,2] 2πrh dx where r = 9-x and h = 8-y v = ∫[0,2] Read more.
use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the

Top answer: y = x^(1/3) y^3 = x y^6 = x^2 Vol = π∫(1^2 - x^2) dy from 0 to 1 = π [ y - y^7 /7] from 0 to 1 = Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: v = ∫[0,1] 2πrh dx where r = x and h = y = 9e^(-x^2) v = ∫[0,1] 2πx*9e^(-x^2) dx use u = -x^2, Read more.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

Top answer: the curves intersect at (7,1) and (7,-1) Using shells of thickness dy, we have v = ∫[-1,1] 2πrh Read more.
y = 8 − x^2, y = x^2; about x = 2Find the volume V generated by rotating the region bounded by the given curves about the

Top answer: Well, isn't this an interesting math problem! It's time to put on our thinking caps and calculate Read more.