Question

How can I find the radius of a sphere given the volume ?

Answer 1

Explanation:

A formula for the volume of a sphere :

V = (Volume) = 4πr³/3

where r is the sphere's radius.

Therefore,

3V = 4πr³

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

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

Answer 2

`v = (4)/(3) \pi {r}^(3)`

`{r}^(3) = (3v)/(4\pi)`

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