Question

The radius of the Earth is roughly twice the radius of the planet Mars. Raj claims that the volume of the Earth must therefore be about twice the volume of Mars. Is Raj’s claim:

Answer 1

The claim is incorrect. Treating the planets as basic spheres, the formula of the volume of a sphere states that volume = (4/3)(pi*r^3), where r is the radius. Since r is raised to the power of three, then doubling the radius would result in a volume that is 8 times larger than the original.