Question

A cone, a right circular cylinder and a hemisphere standing on equal base and have same height. What is the ratio of their volumes ?

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

Answer 1

Answer: (B)

$1:3:2$

Radius and height of cone, cylinder and hemisphere are same.
Volume of cone: Volume of cylinder : Volume of hemisphere
$\frac{1}{3}\pi r^{2}r:\pi r^{2}r:\frac{2}{3}\pi r^3$
$1:3:2$.