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
MR232√2π
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B
MR216√2π
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C
4MR29√3π
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D
4MR23√3π
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Solution
The correct option is C4MR29√3π d = 2R = a√3 ⇒a=2√3R MM′=43πR3(2√3R)3=√32π ⇒M′=2M√3π I=M′a26=2M√3π×43R2×16 I=4MR29√3π