A long homogeneous resistance wire of radius r o = 5 mm is being used to heat

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A long homogeneous resistance wire of radius ro = 5 mm is being used to heat the air in a room by the passage of electric current. Heat is generated in the wire uniformly at a rate of 5 × 107 W/m3 as a result of resistance heating. If the temperature of the outer surface of the wire remains at 180°C, determine the temperature at r = 3.5 mm after steady operation conditions are reached. Take the thermal conductivity of the wire to be k = 6 W/m·K.

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