An ordinary egg can be approximated as a 5.5-cm-diameter sphere. The egg is initially at a uniform temperature of 8°C and is dropped into boiling water at 97°C. Taking the properties of the egg to be rho = 1020 kg/m3 and cp = 3.32 kJ/kg·°C, determine how much heat is transferred to the egg by the time the average temperature of the egg rises to 90°C.