Question

Solve for r: V=πr2h

Answer 1

For this case we have the following equation:

`V = \pi * r ^ 2 * h`

We must solve the equation for the variable r:

We divide by
`\pi * h` on both sides of the equation:

`\frac {V} {\pi * h} = r ^ 2`

Applying square root to both sides of the equation:

`r = \pm \sqrt {\frac {V} {\pi * h}}`

As the variable "r" represents the radius of a cylinder we choose the positive value:

`r = \sqrt {\frac {V} {\pi * h}}`

Answer:

`r = \sqrt {\frac {V} {\pi * h}}`