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

  • A

    $\frac{{4M{R^2}}}{{9\sqrt 3 \pi }}$

  • B

    $\frac{{4M{R^2}}}{{3\sqrt 3 \pi }}$

  • C

    $\frac{{M{R^2}}}{{32\sqrt 2 \pi }}$

  • D

    $\frac{{M{R^2}}}{{16\sqrt 2 \pi }}$

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