Question

Volume= {1}{3} * \pi * r ^{2}* hHELPsolve for H

Answer 1

`h=(3V)/(\pi r^2)`

Step-by-step explanation

`Volume=(1)/(3)\pi r^2h`

Step 1

multiply each side by 3

`\begin{gathered} V=(1)/(3)\pi r^2h \\ V\cdot3=(1)/(3)\pi r^2h\cdot3 \\ 3V=\pi r^2h \end{gathered}`

Step 2

divide both sides by

`\pi r^2`
`\begin{gathered} 3V=\pi r^2h \\ (3V)/(\pi r^2)=\frac{\pi r^2\text{ h}}{\pi r^2} \\ h=(3V)/(\pi r^2) \end{gathered}`