Since the year 1983, the U.S. Mint has coined pennies which are made out of zinc having a copper cladding. The mass of this kind of penny is around 2.50 g. Model the penny as a uniform cylinder of height 1.23 mm and radius 9.50 mm. Suppose that the copper cladding is uniformly thick on all surfaces. When the density of zinc is around 7140 kg/m3 and that of copper is 8930 kg/m3 determine the thickness of the copper cladding? (Suppose that the thickness is much less than the radius and the height of the penny.)