Question

What would be the ratio of the volumes of a cone and a cylinder?

• A. $\frac{1}{3}$
• B. $\frac{3}{1}$
• C. $\frac{1}{1}$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $\frac{1}{3}$

Volume of the cone shown in the figure is given as:
$\frac{1}{3}\pi r^{2}h$

Volume of the cylinder shown in the figure is given as:
$\pi r^{2}h$

Ratio of Volume of Cone to Volume of Cylinder:

$\frac{\frac{1}{3}\pi r^{2}h}{\pi r^{2}h}=\frac{1}{3}$

Diagrametically: