The acceleration due to gravity g and mean density of the earth ρ are related by which of
the following relation? Where g is gravitational constant and R is radius of the earth
ρ = $\dfrac{4\pi gR^{2}}{3G}$
ρ = $\dfrac{4\pi gR^{3}}{3G}$
ρ = $\dfrac{3g}{4\pi GR}$
ρ = $\dfrac{3g}{4\pi GR^{3}}$