Question

If the radius of earth is r and g is the acceleration due to gravity then what will be the formula for the. Mean density of earth

Answer 1

g = GM / R²

g = G × (4/3 π R³ ρ) / R²

[∵ M = Volume × Density = (4/3) πR³ × ρ]

g = 4πGρR / 3

ρ = 3g / (4πGR)