Question

Solve for r
V= 4/3 pi r^2h

Answer 1

r =
`\sqrt{(3V)/(4\pi h) }`

Explanation:

V =
`(4)/(3)` πr²h ( multiply both sides by 3 to clear the fraction )

3V = 4πr²h ( isolate r² by dividing both sides by 4πh )

`(3V)/(4\pi h)` = r² ( take square root of both sides )

`\sqrt{(3V)/(4\pi h) }` = r