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From a solid sphere of mass

Question:

From a solid sphere of mass $\mathrm{M}$ and radius $\mathrm{R}$ 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:-

  1. $\frac{4 \mathrm{MR}^{2}}{9 \sqrt{3} \pi}$

  2. $\frac{4 \mathrm{MR}^{2}}{3 \sqrt{3} \pi}$

  3. $\frac{\mathrm{MR}^{2}}{32 \sqrt{2} \pi}$

  4. $\frac{\mathrm{MR}^{2}}{16 \sqrt{2} \pi}$


Correct Option: 1

Solution:

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