How long should it take to boil an egg? Model the egg as a sphere with radius of 2.3cm that has properties similar to water with a density of =1000kg/m3 and thermal conductivity of k=0.606 Watts /(mC) and specific heat of c=4182J/(kgC). Suppose that an egg is fully cooked when the temperature at the center reaches 70C. Initially the egg is taken out of the fridge at 4C and placed in the boiling water at 100C. Since the egg shell is very thin assume that it quickly reaches a temperature of 100C. The protein in the egg effectively immobilizes the water so the heat conduction is purely conduction (no convection). Plot the temperature of the egg over time and use the data tooltip in MATLAB to make your conclusion on the time it takes to cook the egg in minutes