# Question #98529

Aug 14, 2016

$h = \frac{3 V}{\pi {r}^{2}}$

#### Explanation:

The volume of the cone is:

$V = \left(\frac{1}{3}\right) \pi {r}^{2} h$

And we need to solve for height i.e:$h$

$V = \left(\frac{1}{3}\right) \pi {r}^{2} h$ => multiply both sides by $3$:

$3 V = \pi {r}^{2} h$ => divide both sides by $\pi {r}^{2}$:

$\frac{3 V}{\pi {r}^{2}} = h$