Question
Average density of the earth
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Answer
$g = \frac{{GM}}{{{R^2}}} = \frac{{G\rho \times V}}{{{R^2}}} \Rightarrow g = \frac{{G \times \rho \times \frac{4}{3}\pi {R^3}}}{{{R^2}}}$
$g = \frac{4}{3}\rho \pi G.R\,\,\,\,\,where\,\,\rho \to average\,density$
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