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 $=$ $cm^3$