Solve V=(1)/(3) \pi r^(2)h for r

Question

`Solve V=(1)/(3) \pi r^(2)h for r`

Answer 1

V= pir^2/ 3

Explanation:

Answer 2

`\huge\boxed{\sf r=(3V)/(\pi h) }`

Explanation:

Given equation:

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

Multiply both sides by 3

`\displaystyle 3 * V = \pi r^2h\\\\3V=\pi r^2h`

Divide both sides by πh

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

Take square root on both sides

`\displaystyle \sqrt{(3V)/(\pi h) } = √(r^2) \\\\\sqrt{(3V)/(\pi h) } = r\\\\\underline{OR}\\\\r = \sqrt{(3V)/(\pi h) } \\\\\rule[225]{225}{2}`