A molten aluminum alloy at 900 K and surface emissivity of 0.75 is poured into a cylindrical container that is well insulated from large surroundings at 300 K. The inner diameter of the container is 250 mm, and the distance from the surface of the melt to the top of the container is 100 mm. All surfaces are opaque and diffuse with uniform radiosities and the surroundings can be approximated as a blackbody. Determine the net power leaving the molten aluminum under these conditions.