A cylinder and a cone have the same height and the same radius as that of their base. The ratio of the volume of the cone to the volume of the cylinder is:

Correct option is B

Given:

Radius and height of cylinder and cone is same

Formula Used:

Volume of cone =$$\frac{1}{3} \pi r^2 h$$​​

Volume of cylinder  = $$\pi r^2 h$$​​

Solution:

Ratio of volume of cone to volume of cylinder

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

​$$=\frac{1}{3} =1:3$$​​