Question

A right circular cylinder and a right circular cone both having the same radius and height then the ratio of their volumes is

• A. 2 : 1
• B. 3 : 1
• C. 1 : 2
• D. 1 : 3

Answer 1

The correct option is B 3 : 1

Let the radius and right height circular cone and cylinder is r cm and h cm

Then volume of right circular cylinder =$\pi r^{2}hc{m}^3$

And volume of right circular cone =$\frac{1}{3}\pi r^{2}hc{m}^3$

Then ratio of right circular cylinder and right circular cone=$\frac{\pi r^{2}h}{\frac{1}{3}\pi r^{2}h}=3:1$