# How do you solve for h in V= πr^2h?

Jan 21, 2017

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

#### Explanation:

Consider the simple equation $2 x = 6$

To solve for x, we divide both sides of the equation by 2

$\Rightarrow \frac{\cancel{2} x}{\cancel{2}} = \frac{6}{2} \Rightarrow x = 3$

In a similar way, divide both sides by the multiplier of h.

$\Rightarrow \pi {r}^{2} h = V$

divide both sides by $\pi {r}^{2}$

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

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