5. Five marks example problem I

A right circular cylindrical container of base radius \(6 \ cm\) and height \(15 \ cm\) is full of ice cream. The ice cream is to be filled in cones of height \(9 \ cm\) and base radius \(3 \ cm\), having a hemispherical cap. Find the number of cones needed to empty the container.

 

Answer:

 

The number of cones needed to empty the container \(=\)