Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height $h$, as shown in the figure. It turns out that each ring will have exactly the same amount of wood as the other!

Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius $r$ through the center of a sphere of radius $R$ (with $R > r$). Express your final answer only in terms of $h$.

Volume =