Solve for r L=2prh

$L = 2 p r h$

Step 1

Rewrite the equation as $2 p r h = L$ .

$2 p r h = L$

Step 2

Divide each term in $2 p r h = L$ by $2 p h$ and simplify.

Divide each term in $2 p r h = L$ by $2 p h$ .

$\frac{2 p r h}{2 p h} = \frac{L}{2 p h}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 p r h}{2 p h} = \frac{L}{2 p h}$

Rewrite the expression.

$\frac{p r h}{p h} = \frac{L}{2 p h}$

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p r h}{p h} = \frac{L}{2 p h}$

Rewrite the expression.

$\frac{r h}{h} = \frac{L}{2 p h}$

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{r h}{h} = \frac{L}{2 p h}$

Divide $r$ by $1$ .

$r = \frac{L}{2 p h}$