Question

Volume of a spherical shell with outer and inner radius $\mathrm{R}$ and $\mathrm{r}$ respectively is ___________.

Answer 1

The volume of outer sphere with radius $\mathrm{R}$ is $\frac{4}{3}{\mathrm{\pi R}}^3$.

The volume of inner sphere $\mathrm{r}$ is $\frac{4}{3}{\mathrm{\pi r}}^3$

Therefore, the total net volume between both the spheres is $\frac{4}{3}\mathrm{\pi }({\mathrm{R}}^3-{\mathrm{r}}^3)$.