How to find the volume of the solid enclosed between the ball $\Bbb B^{n-1}_{r}$ and $\Bbb S^{n}_{R}$ such that $r<2R$?
For example in case $n=3$ the volume of the solid enclosed between a sphere of radius $R$ and a 2-ball (disk) of radius $r<2R$ inside of sphere.
(as shown in below)
