Relation between g, the earth's radius and its mean density

1. A.
   $\frac{4\pi G}{3gR}$
2. B.
   $\frac{3\pi R}{4gG}$
3. C.
   $\frac{3g}{4\pi RG}$
4. D.
   $\frac{\pi RG}{12g}$

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1. A.
   $g = \sqrt{\frac{3\pi R}{\rho G}}$
2. B.
   $g = \sqrt{\frac{4}{3}\pi\rho GR}$
3. C.
   $g=\dfrac{4}{3}\pi\rho GR$
4. D.
   $g=\dfrac{GM}{\rho R^2}$

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