Question

How do i solve for r?
V=4/3pi r^3

Answer 1

So firstly, divide both sides by pi:
`(V)/(\pi ) =(4)/(3) r^3`

Next, multiply both sides by 3/4:
`(3V)/(4\pi)=r^3`

Next, cube root both sides of the equation and your answer will be
`\sqrt[3]{(3V)/(4\pi)}=r`

Answer 2

Answer:
`r=\sqrt[3]{(3)/(4\pi)V}`

Explanation:

The given formula :-

`V=(4)/(3)\pi r^3`

Multiply 3 on both sides and divide
`4\pi` on both sides , we get

`r^3=(3)/(4\pi)V`

Taking cube-root on both sides, we get

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

Therefore, the formula for r is
`r=\sqrt[3]{(3)/(4\pi)V}`.