As a coffee enthusiast, you wish to keep your coffee as hot as possible for as long as possible, so you decide to determine the rate of heat loss of your favority coffee mug. The mug is a cylinder whose walls have a thickness of 1.17 cm. The mug has a flat lid made out of the same material as the rest of the cylinder. You measure the thermal conductivity of the mug material to be 0.919 W/(m-C), and the emissivity to be 0.790. The Stefan-Boltzmann Constant is 5.67 x 10-8 W/m-K4. If the coffee in the mug is 75.0 C and the room temperature is 24.8 C, how many times more quickly does the mug lose heat by conduction than by radiation?