Question

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is

• A. 1:3
• B. 3:1
• C. 4:3
• D. 3:4

Answer 1

The correct option is B

3:1

Let r be the radius and h be the height of a right circular cylinder and a right circular cone,and $V_{1}and{V}_2$ are their volumes, then

$V_1=\pi r^{2}hand{V}_2=\frac{1}{3}\pi r^{2}h\therefore \frac{V_1}{V_2}=\frac{\pi r^{2}h}{\frac{1}{3}\pi r^{2}h}=\frac{3\pi r^{2}h}{\pi r^{2}h}=3\therefore Ratio=3:1$