10. Five marks exercise problem IV

A solid consisting of a right circular cone of height \(12 \ cm\) and radius \(6 \ cm\) standing on a hemisphere of radius \(6 \ cm\) is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of the water displaced out of the cylinder, if the radius of the cylinder is \(6 \ cm\) and height is \(18 \ cm\).

 

 

Answer:

 

The volume of the water displaced out of the cylinder \(=\)  \(cm^2\)

 

[Note: Round off your answer up to two decimal places.]