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## Homework Statement

Hi, I'm having a tremendous amount of difficulty with finding the radii in problems using cylindrical shells.

Here's the question: find the volume of the solid found by rotating the region bounded by the given curves:

x = y

^{2}+1, x = 2, about y = -2

I got 2 - (y

^{2}+1) for the height, which I know is correct. For the radius, though, I got 1 + y...which is incorrect. Can anyone explain how to get the right answer? Thanks!