10. Exercise Problem VII

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 \(180 cm\).

 

The volume of water left in the cylinder \(=\) \(m^3\)

 

Note: Enter the answer upto three decimal places.