(a) Assuming nuclei are spherical in shape, show that its radius r is proportional to the cube root of mass number (A).
(b) In general, the radius of a nucleus is given by r = r0A1/3, where r0 is a proportionality constant given by 1.2 x 10-15 m. Calculate the volume of the 73Li nucleus.
(c) Given that the radius of a Li atom is 152 pm, calculate the fraction of the atom's volume occupied by the nucleus. Does your result support Rutherford's model of an atom?