Question

A solid right circular cone of height 120 cm and radius 60 cm is placed in right circular cylinder full of water of height 180 cm such it touches the bottom.Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.

Answer 1

Volume of water left = Volume of cylinder- Volume of cone
= $\pi r^{2}H-\pi r^2\frac{h}{3}=\pi .r^2(H-\frac{h}{3}$)
=$\frac{22}{7}$ × 60 × 60 (180- $\frac{120}{3}$)
=$\frac{22}{7}$ × 60 × 60 × 140
=1584000 $c{m}^3$ = 1584 litres