The diameter of an aluminum atom of mass 27 u is approximately 1.2 × 10^-10 m. The diameter of the nucleus of an aluminum atom is approximately 8 × 10^-15 m. The density of solid aluminum is 2700 kg/m³.
a. What is the average density of an aluminum atom?
b. Your answer to part a was larger than the density of solid aluminum. This suggests that the atoms in solid aluminum have spaces between them rather than being tightly packed together. What is the average volume per atom in solid aluminum? If this volume is a sphere, what is the radius?

c. What is the density of the aluminum nucleus? By what factor is the nuclear density larger than the density of solid aluminum? If this volume is a sphere, what is the radius?