NOTE: IT HAS BLACK END SURFACES

A circular furnace has $2$ end black surfaces, surface $1$ is kept at $500$ k and surface $2$ is kept at $800$ k$.$ The diameter and the length of the furnace are $1$ and $2$ meters respectively. both end plates are connected by a reradiating insulated wall $($surface $3).$ Answer the following questions.

A$.)$ Compute the view factors for F$12$ and F$33?$

B$.)$ Draw the radiation network for this problem

C$.)$ What is the temperature of the reradiating wall, $($surface $3)?$

D$.)$ What is the net heat transfer from surface $1?$