Answer
We show that the volume of the region is $V = \frac{4}{3}\pi {h^3}$,
where $h$ denotes the height of the cylinder from the $xy$-plane.
This implies that the volume only depends on the height of the band that results.
Work Step by Step
Let ${\cal W}$ denote the region of the sphere of radius $a$ from which a central cylinder of radius $b$ has been removed, where $0
