One end of a 0.25-m copper rod with a cross-sectional area of 1.2 × 10^-4 m^2 is driven into the center of a sphere of ice at 0 °C (radius = 0.15m). The portion of the rod that is embedded in the ice is also at 0 °C. The rod is horizontal and its other end is fastened to a wall in a room. The rod and the room are kept at a constant temperature of 24 °C. The emissivity of the ice is 0.90. What is the ratio of the heat per second gained by the sphere through conduction to the net heat per second gained by the ice due to radiation? Neglect any heat gained through the sides of the rod.