An aluminum-alloy electrical cable has k = 190 W/m C, a diameter of 30 mm, and

An aluminum-alloy electrical cable has k = 190 W/m ∙ ºC, a diameter of 30 mm, and carries an electric current of 230 A. The resistivity of the cable is 2.9 μΩ ∙ cm, and the outside surface temperature of the cable is 180ºC. Calculate the maximum temperature in the cable if the surrounding air temperature is 15ºC.