Question

solve the formula for the indicated variable.
volume of a cylinder with radius $r$.
$v = \pi r^{2}h$; solve for $r$

Explanation:

Step1: Isolate $r^2$ term

Divide both sides by $\pi h$:
$\frac{V}{\pi h} = r^2$

Step2: Solve for $r$

Take square root of both sides (radius is positive):
$r = \sqrt{\frac{V}{\pi h}}$

Answer:

$r = \sqrt{\frac{V}{\pi h}}$