Question

A dairy farmer uses a storage silo that is in the shape of the right circular cylinder above. If the volume of the silo is $72\pi$ cubic yards, what is the diameter of the base of the cylinder in yards?

• A. $5$
• B. $6$
• C. $7$
• D. $4$

Answer 1

The correct option is B $6$

Volume of a Cylinder of Radius "$R$" and height "$h$" $=\pi R^{2}h$
$\Rightarrow \pi R^2\times 8=72\pi$
$\Rightarrow R^2=9$
$\Rightarrow R=3$ yards
Hence, diameter of the base of the cylinder $=2\times$ Radius $=2\times 3=6$ yards