Two-dimensional, steady-state conduction occurs in a hollow cylindrical solid of thermal conductivity 14 w/m·k, outer radius 1 m and overall length 5 m, where the origin of the coordinate system is located at the midpoint of the center line. The inner surface of the cylinder is insulated, and the temperature distribution within the cylinder has the form , where -20°c, 150°c/m2, -14°c, -300°c/m2 and and are in meters. (a) determine the inner radius of the cylinder. (b) determine the volumetric rate of heat generation, (c) determine the axial distribution of the heat flux at the outer surface, what is the heat rate at the outer surface? Is it into or out of the cylinder?