Aten-centimeter radius thorium sphere with a thermal conductivity of 55 w/mk experiences a uniform heat generation rate of 1x106 w/m. the sphere is surrounded by air at 20°c with a film coefficient of 500 w/m-k. determine the total heat transfer from the sphere to the air and the temperatures at the following locations: (1) the sphere center; (2) at a radius of 5 cm; and (3) at the sphere surface.