Moment of inertia about an axis A B for a rod of mass 40 kg and length 3 m is same as that of a solid sphere of mass of 10 kg and radius R about an…

Moment of inertia about an axis $\displaystyle A B$ for a rod of mass $\displaystyle 40$ kg and length $\displaystyle 3$ m is same as that of a solid sphere of mass of $\displaystyle 10$ kg and radius $\displaystyle R$ about an axis parallel to $\displaystyle A B$ axis with separation of $\displaystyle 3$ m as shown in figure below. The value of $\displaystyle R$ is given as $\displaystyle \sqrt{\frac{\alpha}{2}}$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$.