A Greek myth says that Atlas the titan was punished and forced to hold the
Heavens on his shoulders. If every m3 of the Heavens weighs 1.2 kg and the
Heavens are a sphere with a radius of 2000 m, how much weight is Atlas holding
The problem is to find the volume of the sphere and multiply by its density.
The volume of a sphere can be found by this formula: V = (4/3)·pi·r3
For this problem the radius is 2000 m: V = (4/3)·pi·20003 = 3.35 x 1010 cubic meters.
The density is 1.2 kg per cubic meter: Weight = 1.2 x 3.35 x 1010 = 4.0 x 1010 kg (approximately)