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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 face is -

1. π 2 32 MR 2
2. π 2 16 MR 2
3. π 3 9 MR 4 2
4. π 3 3 MR 4 2

Correct answer: π 3 9 MR 4 2

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