# Math Help - Shells method problem

1. ## Shells method problem

ok so my problem is
Consider the given curves to do the following.
y=2-x^2, y=x^2
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 1.

I tried to get the height which i was told is (top-bottom) but isn't working for me. Any help?

2. Originally Posted by krnbluemonkey
ok so my problem is
Consider the given curves to do the following.
y=2-x^2, y=x^2
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 1.

I tried to get the height which i was told is (top-bottom) but isn't working for me. Any help?
$V = 2\pi \int_a^b r(x) \cdot h(x) \, dx
$

$V = 2\pi \int_{-1}^1 (1-x)[(2-x^2) - x^2] \, dx$