Question

The height of sand in a cylindrical shaped can drops 3 inches when 1 cubic foot of sand is poured out. What is the diameter, in inches, of the cylinder?

(a) $\frac{24}{\mathrm{\pi }}$

(b) $\frac{48}{\mathrm{\pi }}$

(c) $\frac{32}{\mathrm{\pi }}$

(d) $\frac{48}{\mathrm{\pi }}$

Answer 1

Let r be the radius of the cylinder. It is given that the height drops 3 inches, when 1 cubic foot of sand is poured out and 1 foot = 12 inch

So,

Hence, the correct option is (b)