Calculus...Finding the Volume!?!?

Question

Okay I have a problem with this problem...I anyone can...Please Help Me!!!

1. Using either method (washer or cylindrical shells) to find the volumes of the solid formed by rotating the region bounded by the curves; x = 1 - y^(4) and x = 0 about the line x = 2.

Note: also please provide the x - and y - intercepts. Thanks in Advance...

Answer 1

First change the variable. Let X = x-2. The solid now is formed by by rotating the region bounded by the curves; X = -1 - y^(4) and X = 2 about the line X = 0. This change does not alter the volume. But now you can solve this problem easily.