Assume that the radius $r$ of a sphere is expanding at a rate of $14 \textrm{in.} / \textrm{min.}$ The volume of a sphere is $V = \frac{4}{3} \pi r^3$.

Determine the rate at which the volume is changing with respect to time when $r = 8 \textrm{in.}$

The volume is changing at a rate of $\textrm{in}^3 / \textrm{min}$.