The nucleus of the hydrogen atom has a radius of about 1 × 10-15 m. The electron is normally at a distance of about 5.3 × 10-11 m from the nucleus. Assuming that the hydrogen atom is a sphere with a radius of 5.3 × 10-11 m, find

(a) The volume of the atom,

(b) The volume of the nucleus, and

(c) The percentage of the volume of the atom that is occupied by the nucleus.