One specific material should be kept at specific temperature all the time greater than room temperature. The material supplier is designing a new container as sketched below. The Container includes the thermally conductive materials which coated the transporting material and the assembly is encapsulated in a heat-belt (Heater) with q, as volumetric heat generation. The whole sandwich is then placed in an insulating container. If the outer surface of the container is exposed to air with T, h. At the steady state condition: a) Find the surface temperature of the container at r=r4. b) Find the temperature profile in the heat belt. c) What is the temperature of the core? Find the temperature profile in the core. Conductor, k, Core, k, To,h Heater, k, Insulation, ka 3D