# Question #ae2f4

Oct 4, 2016

Firstly your formula is wrong it is cubed not squared!

Let the radius of the sphere be r then:

Diameter = $14 \pi$
$\therefore 2 r = 14 \pi$
$\therefore r = 7 \pi$

Then using the formula for the volume of sphere $v = \frac{4}{3} \pi {r}^{3}$ we have
V=$\frac{4}{3} \pi {\left(7 \pi\right)}^{3}$
V=$\frac{4}{3} \pi \left(343 {\pi}^{3}\right)$
V=$\frac{1372}{3} {\pi}^{4}$