A solid metal sphere of radius 2.0cm is heated uniformly to 800K and is then allowed to radiate energy into a large evacuated enclosure whose walls are at a much lower temperature that may be taken as 0K for this calculation. Take the sphere to behave as an ideal absorber. Use σ=5.67×10−8Wm−2K−4.
a. (i) Calculate the surface area of the sphere.
b. (ii) Determine the total power radiated by the sphere at 800K.