Consider an atom of ⁶⁴Zn. 

(a) Calculate the density of the nucleus in grams per cubic centimeter, knowing that the nuclear radius is 4.8 × 10⁻⁶ nm and the mass of the ⁶⁴Zn atom is 1.06 × 10⁻²² g. (Recall that the volume of a sphere is [4/3]πr³.)

(b) Calculate the density of the space occupied by the electrons in the zinc atom, given that the atomic radius is 0.125 nm and the electron mass is 9.11 × 10⁻²⁸ g.

(c) Having calculated these densities, what statement can you make about the relative densities of the parts of the atom