What is the moment of inhertia 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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