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 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.h/3
=pi.r^2 {H-h/3}
=22/7 x 60 x 60 {180-120/3}
=22/7 x 60 x 60 x 140
=1584000 cm^3= 1584 litres

Answer 2

Hope it helps. In surface areas and volumes