A cylindrical wheel billet 1ft. in diameter and 3ft. long, initially at 1000 F, is quenched in oil. Assume that the surface of the billet is 200 F throughout the quenched; assume that the convective heat transfer coefficient between the oil and the billet surface is very large. The steal has the following properties, which may be assumed independent of temperature: K = 25 Btu/h-ft-F, Cp = 0.11 Btu/lbm-F, p = 490 lbm/ft^3, a(alfa) = 130*10^-6 ft^2/s. Estimate the temperature of the hottest point in the billet after five minutes of quenching. Neglect end effects; make the calculation for a cylinder of the given diameter but of infinite length.