Question

A cone and a cylinder have a radius and height of 3 cm and 5 cm respectively. The ratio of the volume of cone to that of the cylinder is equal to

• A. 1:3
• B. 3:1
• C. 1:4
• D. 4:1

Answer 1

The correct option is A 1:3

Given, a cone and a cylinder have the same radius and height.
Let the radius be 'r' and height be 'h'.
Volume of cylinder is given by $\pi r^{2}h$.
Volume of cone is given by $\frac{1}{3}\pi r^{2}h$.

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

$\text{Hence, the required ratio is 1:3.}$