Question

Solve the formula v = pi r2 h solve for r

Answer 1

`v=\pi r^2h`Step-by-step explanation

We can do the following steps to solve the given expression for r.

Step 1: We divide by πh from both sides.

`\begin{gathered} v=\pi r^2h \\ (v)/(\pi h)=(\pi r^2h)/(\pi h) \\ (v)/(\pi h)=r^2 \end{gathered}`

Step 2: We apply square root to both sides of the equation.

`\begin{gathered} \sqrt{(v)/(\pi h)}=√(r^2) \\ \sqrt{(v)/(\pi h)}=r \end{gathered}`Answer
`r=\sqrt{(v)/(\pi h)}`