The mass of earth is 5.974x10^24 kg. assume that earth is a sphere of diameter 1.28x10^4 km and calculate the average density of earth in grams per cubic centimeter.

The average density of Earth is 5.44 g/cm³.

Mass

Mass = 5.974 × 10²⁴ kg = 5.974 × 10²⁷ g

Volume

d = 2r = 1.28 × 10⁴ km

r = 6.40 × 10³ km × (10³m/1 km) × (10² cm/1 m) = 6.40 × 10⁸ cm

V = ⁴/₃πr³ = ⁴/₃π × (6.40 × 10⁸ cm)³ = 1.098 × 10²⁷ cm³

Density

Density = mass/volume = (5.974 × 10²⁷ g)/(1.098 × 10²⁷ cm³) = 5.44 g/cm³

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