Using the shell method, compute the volume of the solid of revolution formed by revolving the region bounded by the given curves about the given axis of revolution.

Question

y = -x² + 1,

y = -x - 1,

y = x - 1,

rotated about the line x = 2

Answer 1

This link contains the answers (and shows that the washer method also gives the same answer). Watch the video and try and come up with the answer before going here to confirm.

desmos.com/calculator/rbjgau9dow