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PROBLEM \# 2[ thermal energy generation in a spherical domain (25pts)] A 5cm diameter radioactive sphere at steady state generates a total of 40W of thermal energy. The sphere is covered by a layer of insulation 27.5cm thick so that the total outside diameter is 60cm The thermal conductivity of the radioactive material is 4.0W/(mK). The thermal conductivity of the insulation is 0.5 W/(mK). The insulated sphere is surrounded by a gas at 25C with a convective heat transfer coefficient of 20W/(m2K). Compute the temperatures at the following points: (a) Outside insulation surface. (b) Interface between radioactive material and insulation. (c) Centre of radioactive sphere The volume of a sphere is V=34r3 and the surface area of a sphere is A=4r2