Question

The first quadrant region enclosed by y=2x, the ax-axis, and the line x=2 is revolved about the line x=2. Find the resulting volume.

Answer 1

\[V=\pi \int\limits_{0}^{4}(radius)^{2}dy\]

Answer 2

I know that part of the radius involves y/2, but I'm not sure what to add/subtract since it's revolved around a vertical axis that's not the y-axis.