30. Exemplar Exercise Problems XIV

Two solid cones \(A\) and \(B\) are placed in a cylindrical tube as shown in the Fig. The ratio of their capacities are \(2:1\). Find the heights and capacities of cones. Also, find the volume of the remaining portion of the cylinder.

 

 

Height of cone \(A=\) \(cm\)

 

Height of cone \(B=\) \(cm\)

 

Volume of remaining portion \(=\) \(cm^3\)