Answer
If we want to find the height of a cone whose volume is $100$ $in^{3}$, we can express the function as:
$h(V)$ = $\frac{100 in^{3}}{\pi r^{2}}$
Work Step by Step
The volume of a cone is given as:
V = $\frac{1}{3}$$\pi$$r^{2}$$h$
We know from the problem that the volume of this cone is $100$ $in^{3}$. We plug $100$ $in^{3}$ in for the volume to get:
$100$ $in^{3}$ = $\pi$$r^{2}h$
If we want to find the height ($h$) of the cone, we divide each side by $\pi$$r^{2}$ to get:
$h$ = $\frac{100 in^{3}}{\pi r^{2}}$
