G the density of an object equals its mass divided by its volume. the mass of earth is 6 * 1024 kg and its radius is 4 * 103 miles. the mass of the sun is 2 * 1033 g and its radius is 7 * 105 km. calculate the earth's density divided by that of the sun.

Assuming the earth and the sun to be perfect spheres,

Volume of the sphere = 4/3 * pi * (r**3)

Volume of the earth = 4/3 * pi * ((4000*1.609 km) * * 3) = 1.116 E 12 km3

Volume of the Sun = 4/3 * pi * ((7 E 5 km) * * 3) = 1.436 E 18 km3

Density = mass / volume

Density of earth = 6 E 24 kg / 1.116 E 12 km3 = 5.376 E 12 [kg/km3]

Density of Sun = 2 E 30 kg / 1.436 E 18 km3 = 1.392 E 12 [kg/km3]

Density of earth / Density of Sun =

5.376 E 12 [kg/km3] / 1.392 E 12 [kg/km3] = 3.86