MCQ - 114-11966

Correct Answer: E

Explanation:

1. Use the volume to find the radius:

${\displaystyle Volume=\frac{4}{3}\mathrm{\pi <!--\; \pi \; -->}{r}^3}$

${\displaystyle 36\mathrm{\pi <!--\; \pi \; -->}=\frac{4}{3}\mathrm{\pi <!--\; \pi \; -->}{r}^3}$

${\displaystyle \frac{3}{4}(36\mathrm{\pi <!--\; \pi \; -->})=(\frac{4}{3}\mathrm{\pi <!--\; \pi \; -->}{r}^3)\frac{3}{4}}$

${\displaystyle 27=r^3}$

r = 3

2. Use the radius to find the diameter:

d=2r=2⋅3=6