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.]