Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the centres of the spheres…

Two identical solid spheres each of mass $\displaystyle 2$ kg and radii $\displaystyle 10$ cm are fixed at the ends of a light rod. The separation between the centres of the spheres is $\displaystyle 40$ cm . The moment of inertia of the system about an axis perpendicular to the rod passing through its middle point is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-3} \mathrm{~kg}-\mathrm{m}^2$