Repeat Prob. 12–47 for a 4-m-diameter sphere.

Data from problem 47

A small circular surface of area A₁ = 2 cm² located at the center of a 2-m-diameter sphere emits radiation as a blackbody at T₁ = 1000 K. Determine the rate at which radiation energy is streaming through a D₂ = 1-cm-diameter hole located

(a) On top of the sphere directly above A₁

(b) On the side of sphere such that the line that connects the centers of A₁ and A₂ makes 45° with surface A₁.