Question

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

Answer 1

Answer:

13m

Step-by-step explanation:

volume of sphere = $\frac{4}{3} * pi * r^{3}$ = 3000π

4r^3/3 = 3000

r^3 =2250

r = ∛2250 = 13.10370 = 13

Answer 2

Answer:

Radius of the sphere is 13.1 m.

Step-by-step explanation:

Volume:

${ \boxed{ \pmb{volume = { \bf{ \frac{4}{3}\pi {r}^{3} }}}}}$

Substitute:

${ \tt{3000\pi = \frac{4}{3} \times \pi \times {( {r}^{3}) } }} \\ \\ { \tt{ {r}^{3} = \frac{3000 \times 3}{4} }} \\ \\ { \tt{r = \sqrt[3]{ \frac{3000 \times 3}{4} } }} \\ { \tt{r = 13.1 \: m}}$