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Question

From a solid sphere of mass M and radius R, a cube of maximum possible volume is cut. The moment of inertia of cube about an axis passing through its centre and perpendicular to one of its faces is

A
MR2322π
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B
MR2162π
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C
4MR293π
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D
4MR233π
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Solution

The correct option is C 4MR293π
d = 2R = a3

a=23R
MM=43πR3(23R)3=32π
M=2M3π
I=Ma26=2M3π×43R2×16
I=4MR293π

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