I'm asked what solid this integral represents(the integral is used to obtain the volume of a solid, we are given this).
I see that since we have the $ 2\pi$, this is probably a volume obtained by using cylindrical shells. Now, I think that $(3 -y)$ could be radius or height, and that $(1-y^2)$ could be height or radius. I'm not really sure what to do with this information, anyone know how I could derive the solid?
Hint: The axis of rotation is $y=3$