For this problem, we have to assume that the bronze alloy is at room temperature such that the densities remain constant. By doing so, we can use the information of densities.The volume of the bronze alloy is
V = πr²h = π(3.77 cm)²(35.38 cm) = 1,579.76 cm³
The solution for mass is as follows:
Mass = (0.7942)(8.94 g/cm³)(1,579.76 cm³) + (0.2058)(7.31 g/cm³)(1,579.76 cm³)
Mass = 13,593.12 g