Three solid spheres each of mass $$m$$ and diameter $$d$$ are stuck together such that the lines connecting the centres form an equilateral triangle of side of length $$d$$. The ratio $$\frac{I_0}{I_A}$$ of moment of inertia $$I_0$$ of the system about an axis passing the centroid and about center of any of the spheres $$I_A$$ and perpendicular to the plane of the triangle is:

A

$$\frac{13}{23}$$

B

$$\frac{15}{13}$$

C

$$\frac{23}{13}$$

D

$$\frac{13}{15}$$