The radius of a solid sphere is R and its density D. When it is made to rotate about an axis passing through any diameter of sphere, expression for its moment of inertia is

• A

  $\frac{8}{7}\mathrm{\pi }{\mathrm{DR}}^5$

• B

  $\frac{8}{15}\mathrm{\pi }{\mathrm{DR}}^5$

• C

  $\frac{28}{15}\mathrm{\pi }{\mathrm{DR}}^5$

• D

  $\frac{28}{5}\mathrm{\pi }{\mathrm{DR}}^5$