Show that the steady-state rate of heat conduction through the wall of a hollow cylinder of inner radius, ri, outer radius, ro, and length, l, is given by the following expression: 2nkl 9 = in (r./r; ) (t; -t.) where k is the thermal conductivity of the sphere wall, and tiand to are temperatures of the inside and outside walls, respectively. [5 marks] (b) a pipe has an outside diameter of 25 cm, a wall thickness of 1.25 cm and a length of 10 m. its outside surface is maintained at a temperature of 100°c and exposed to a convection environment with h = 140 w/m2.k and to = 20°c. the thermal conductivity of the pipe material is 36 w/m. k. determine the rate of heat loss from the pipe, and the temperature of the inside wall. [8 marks] c) if the pipe is insulated with a 5 mm layer of fiberglass insulation (k = 0.025 w/m. k), calculate the outside temperature of the insulation. what reduction in heat loss results from installing the insulation?