Question

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

Answer 1

20360.16 cm^3

Explanation:

We are going to assume that the cylinder is filled with water to the brim

Given that the data of the cylinder is

height h= 180 cm

radius r= 60 cm

The formula for the volume of a cylinder is

`volume= \pi r^2h`

`volume = 3.142*60^2*180\\\\volume= 3.142*3600*180\\\\volume= 20360.16 cm^3`

The volume of water in the cylinder is 20360.16 cm^3