Answer: 8

The volume of a cone is $V = \frac{1}{3}\pi r^2 h$. Substituting gives $96\pi = \frac{1}{3}\pi(36)h = 12\pi h$. Dividing both sides by $12\pi$ gives $h = 8$.

Leaving out the $\frac{1}{3}$ gives $36\pi h = 96\pi$, or $h = \frac{8}{3}$, which is the height of a cylinder with this volume and radius.