The moment of inertia of a uniform sphere of radius, r about an axis passing through its centre is given by 2/5 ( 4 3r^5 ). A rigid sphere of uniform mass density and radius R has two smaller spheres of radii R/2 hollowed out of it as shown in the figure given below. The moment of inertia of the resulting body about Y-axis is

The moment of inertia of a uniform sphere of radius, r about an axis passing through its centre is given by $$\frac{2}{5}\left(\frac{4\pi }{3}{r}^5\rho \right).$$    A rigid sphere of uniform mass density $$\rho$$ and radius R has two smaller spheres of radii $$\frac{R}{2}$$ hollowed out of it as shown in the figure given below.

The moment of inertia of the resulting body about Y-axis is

Answer: Option B