Imagine that we know the volume of the Earth, which is 1.08 x 10**12 km3 And we model the Earth as a perfect Sphere. We know that the volume of the sphere is V = 4/3 * pi * (r**3) We can solve for r......................r = cube root((V*3/4)/pi) r = 6364,71 km , which is a good approximation for the radius of the Earth!