Two solid cones \(A\) and \(B\) are placed in a cylindrical tube of length(l) \(28\) and diameter(d) \(21\) shown in the Fig. The ratio of their capacities are \(3:4\). Determine 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 cone \(A=\) \(cm^3\)
Volume of cone \(B=\) \(cm^3\)
Volume of remaining portion \(=\) \(cm^3\)