Question

Rearrange the formula to highlight the radius

Answer 1

$\displaystyle\\Answer:\ r=\sqrt{\frac{3V}{\pi h} } .$

Step-by-step explanation:

$\displaystyle\\V=\frac{1}{3} \pi r^2h.$

Multiply both sides of the equation by 3:

$3V=\pi r^2h.$

Divide both sides of the equation by πh:

$\displaystyle\\\frac{3V}{\pi h} =\frac{\pi r^2h}{\pi h} \\\frac{3V}{\pi h}=r^2\\ r^2=\frac{3V}{\pi h} .\\r*r=\sqrt\frac{3V}{\pi h} *\sqrt{\frac{3V}{\pi h} } \\r=\sqrt{\frac{3V}{\pi h} } .$