Difficult
What is the moment of inertia of a solid sphere of radius $R$ and density $\rho$ about its diameter?
- A$\frac{8}{3} \pi R^3 \rho$
- B$\frac{8}{15} \pi R^5 \rho$
- C$\frac{8}{3} \pi R^5 \rho$
- D$\frac{15}{8} \pi R^3 \rho^2$
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