Question

A solid right circular cone of height $120cm$ and radius $60cm$ is placed in a right circular cylinder full of water of height $180cm$ such that it touches the bottom. Find the volume (in cubic meter) of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone.
(Insert answer in nearest integer)

Answer 1

Volume of water left in the cylinder$=$Volume of cylinder $-$ Volume of cone

$=\pi r^{2}h-\frac{1}{3}\pi r^2{h}^{\prime }$

$=\pi \left(60{)}^2\right(180)-\frac{1}{3}\pi (60{)}^2\left(120\right)$

$=2036571.43-452571.43=1584000c{m}^3$

$=1.584m^3$

$=2m^3$