The moment of inertia of a solid sphere of density \( \rho \) and radius \( R \) about its diame...

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The moment of inertia of a solid sphere of density \( \rho \) and radius \( R \) about its diameter is:
(A) \( \frac{105}{176} R^{5} \rho \)
(B) \( \frac{176}{105} R^{5} \rho \)
(C) \( \frac{105}{176} R^{2} \rho \)
(D) \( \frac{176}{105} R^{2} \rho \)
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