Steel balls 12 mm in diameter are annealed by heating to 1150 K and then slowly cooling to 400 K in an air environment for which T 325 K and h 20 W/m2 K. Assuming the properties of the steel to be k 40 W/mK, 7800 kg/m3 , and c 600 J/kg K, estimate the time required for the cooling process.