Solve for h V=pir^2h for h

$V = π r^{2} h$ for $h$

Step 1

Rewrite the equation as $π r^{2} h = V$ .

$π r^{2} h = V$

Step 2

Divide each term in $π r^{2} h = V$ by $π r^{2}$ and simplify.

Divide each term in $π r^{2} h = V$ by $π r^{2}$ .

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

Simplify the left side.

Cancel the common factor of $π$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $r^{2}$ .

Cancel the common factor.

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

Divide $h$ by $1$ .

$h = \frac{V}{π r^{2}}$