Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light rod so that the separation between the centers is 150 cm.…

Two identical spheres each of mass $\displaystyle 2$ kg and radius $\displaystyle 50$ cm are fixed at the ends of a light rod so that the separation between the centers is $\displaystyle 150$ cm . Then, moment of inertia of the system about an axis perpendicular to the rod and passing through its middle point is $\displaystyle \frac{x}{20} k g m^2$, where the value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.