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Moderate

Cylinder Height from Volume

ACTMAT-N44E11

A cube is made out of clay, with each of its sides measuring 7 units. The same clay is then rolled to make a sphere of radius r. The clay is then molded to form a cylinder of radius $\frac{r}{2}.$

What is the height of the cylinder?

A

$\text{23.16 units}$

B

$\text{5.79 units}$

C

$\text{8.91 units}$

D

$\text{11.58 units}$

E

$\text{46.32 units}$