Q. Two dises of same mass and different radii are made of different materials such that their thicknesses are $1 \,cm$ and $0.5 \,cm$ respectively. The densities of materials are in the ratio $3: 5$. The moment of inertia of these dises respectively about their diameters will be in the ratio of $\frac{x}{6}$. The value of $x$ is ___
Solution: