Question

Solve for r^2.$v = \frac{1}{3}\pi {r}^{2}h$I need this as soon as possible please..

Answer 1

$r^2=\frac{3v}{\pi}$

Explanation

$v=\frac{1}{3}\pi r^2$

Step 1

multiply both sides by 3

$\begin{gathered} v=\frac{1}{3}\pi r^2 \\ v\cdot3=\frac{1}{3}\pi r^2\cdot3 \\ 3v=\pi r^2 \end{gathered}$

Step 2

divide both sides by Pi()

$\begin{gathered} 3v=\text{ }\pi r^2 \\ \frac{3v}{\pi}=\frac{\pi r^2}{\pi} \\ \frac{3v}{\pi}=r^2 \\ \\ r^2=\frac{3v}{\pi} \end{gathered}$

I hope this helps you