The solid cylinder of length \(80 \mathrm{~cm}\) and mass \(M\) has a radius of \(20 \mathrm{~cm....

The solid cylinder of length \(80 \mathrm{~cm}\) and mass \(M\) has a radius of \(20 \mathrm{~cm}\). Calculate the density of the material used if the moment of inertia of the cylinder about an axis \(C D\) parallel to \(A B\) as shown in figure is \(2.7 \mathrm{~kg} \mathrm{~m}^{2}\).