A semi-infinite aluminum cylinder (k = 237 W/mK, = 9.71 10 -5 m 2 /s)

A semi-infinite aluminum cylinder (k = 237 W/m·K, α = 9.71 × 10^-5 m²/s) of diameter D = 15 cm is initially at a uniform temperature of T_i = 115°C. The cylinder is now placed in water at 10°C, where heat transfer takes place by convection with a heat transfer coefficient of h = 140 W/m²·K. Determine the temperature at the center of the cylinder 5 cm from the end surface 8 min after the start of cooling.