From a solid sphere of mass \( M \) and radius \( R \), a cube of \( \mathrm{P} \) maximum possi...

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From a solid sphere of mass \( M \) and radius \( R \), a cube of
\( \mathrm{P} \) maximum possible volume is cut. The moment of inertia

W of cube about an axis passing through its centre and perpendicular to one of its faces is
(1) \( \frac{M R^{2}}{32 \sqrt{2} \pi} \)
(2) \( \frac{M R^{2}}{16 \sqrt{2} \pi} \)
(3) \( \frac{4 M R^{2}}{9 \sqrt{3} \pi} \)
(4) \( \frac{4 M R^{2}}{3 \sqrt{3} \pi} \)
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