A long circular shaft of 0.2 m diameter and thermo physical properties k = 21 W/m-K, P= 7900 kg/m^3, and c = 570 J/kg-K is initially at a uniform temperature of 600C and is cooled in a convective flow maintained at 100C. What is the shaft centerline temperature after exposure to the convective flow for 45 minutes? The convection heat transfer coefficient, h, is 80 W/m^2-K.