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