A steel (thermal diffusivity 0.00001172, k=43) cylinder 10 cm in diameter and 10 cm long is initially at 300°C. It is immersed in a oil bath that is maintained at 40°C with h=280 W/ m2°C.
Find
(a) temperature at the center of the solid after two minutes
(b) temperature at the center and temperature at the end of the cylinder.