From a solid sphere of mass \( M \) and radius \( R \) a cube of ma...

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From a solid sphere of mass \( M \) and radius \( R \) a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is
\( \mathrm{P} \)
(A) \( \frac{4 \mathrm{MR}^{2}}{9 \sqrt{3} \pi} \)
(B) \( \frac{4 \mathrm{MR}^{2}}{3 \sqrt{3} \pi} \)
(C) \( \frac{\mathrm{MR}^{2}}{32 \sqrt{2} \pi} \)
(D) \( \frac{\mathrm{MR}^{2}}{16 \sqrt{2} \pi} \)
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