Question

The volume of a sphere is 3,000π m3. What is the radius of the sphere to the nearest meter?

Answer 1

13m

Explanation:

volume of sphere =
`(4)/(3) * pi * r^(3)` = 3000π

4r^3/3 = 3000

r^3 =2250

r = ∛2250 = 13.10370 = 13

Answer 2

Radius of the sphere is 13.1 m.

Explanation:

Volume:

`{ \boxed{ \pmb{volume = { \bf{ (4)/(3)\pi {r}^(3) }}}}}`

Substitute:

`{ \tt{3000\pi = (4)/(3) * \pi * {( {r}^(3)) } }} \\ \\ { \tt{ {r}^(3) = (3000 * 3)/(4) }} \\ \\ { \tt{r = \sqrt[3]{ (3000 * 3)/(4) } }} \\ { \tt{r = 13.1 \: m}}`