## College Algebra 7th Edition

If we want to find the height of a cone whose volume is $100$ $in^{3}$, we can express the function as: $h(V)$ = $\frac{100 in^{3}}{\pi r^{2}}$
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: $h$ = $\frac{100 in^{3}}{\pi r^{2}}$