Question

Say true or false.

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is $1:2:3$.

• A. True
• B. False

Answer 1

The correct option is A True

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

height s of all are same.

Height of hemisphere is $r$, so is of cone and cylinder.
Therefore, $V_1=\frac{1}{3}\pi r^{2}r$
$V_2=\frac{2}{3}\pi r^3$
and $V_3=\pi r^{2}r$
So, it is true.