# Thread: Volume by cylindrical shells

1. ## Volume by cylindrical shells

Find the volume given the problem:

The region bounded by $y = cos(x)$ and $y = x^4$ about $x = 2$.

I need help finding the radius.

So far, I know that the boundaries are $[-.891,.891]$ and that $h= cos(x) - x^4.$

2. See attachment-- in general draw in a representative rectangle at

x and consider the distance to the axis of rotation