Four spheres, each of mass \( m \) and radius \( r \), are placed with their centres on the four...

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Four spheres, each of mass \( m \) and radius \( r \), are placed with their centres on the four corners of a square of side \( b \). The moment of inertia of the system about any side of the square is
(1) \( \frac{8}{5} m r^{2}+m b^{2} \)
(2) \( \frac{8}{5} m r^{2}+2 m b^{2} \)
(3) \( \frac{8}{5} m r^{2}+4 m b^{2} \)
(4) none of these
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