# How do you solve for h in v=πr²h?

Mar 25, 2016

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

#### Explanation:

To solve for $h$, we need to isolate $h$ so that it is the only variable on one side of the equation. If we divide both sides by $\pi {r}^{2}$, $h$ is by itself. Thus:

$v = \pi {r}^{2} h$

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

$\frac{v}{\pi {r}^{2}} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{\pi {r}^{2}}}} h}{\textcolor{red}{\cancel{\textcolor{b l a c k}{\pi {r}^{2}}}}}$

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} h = \frac{v}{\pi {r}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$