A long hollow cylindrical bar has inner and outer radii 40mm and 140mm respectively. It generates heat, . g q , at rate of 1.5 kW/m3. The thermal conductivity(k) is 0.6 W/m K. The radial temperature distribution in the bar is governed by the differential equation: 0 1 . = k q dr dT r dr d r g (i) Show that r A r B k q T g = .ln 4 2 . where A and B are constants. (ii) If the maximum temperature occurs at a radius of 90 mm and the temperature of the outer surface is 45C, find: (a) Temperature at inner surface, and (b)Maximum temperature in the cylinder