Acceleration due to gravity g in terms of mean density of Earth d (where R is radius of earth and G – universal gravitational constant) is
g = 4πR2 d G
g = $\dfrac{4\pi R^{2}G}{d}$
g = $\pi \dfrac{3}{4}RdG$
g = $\pi \dfrac{4}{3}pRdG$
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