A small gray sphere having an emissivity of 0.5 and a surface temperature of 537°C is located in a blackbody enclosure having a temperature of 37°C. Calculate for this system 

(a) The net rate of heat transfer by radiation per unit of surface area of the sphere 

(b) The radiative thermal conductance in W/ K if the surface area of the sphere is 95 cm²

(c) The thermal resistance for radiation between the sphere and its surroundings 

(d) The ratio of thermal resistance for radiation to thermal resistance for convection if the convection heat transfer coefficient between the sphere and its surroundings is 11W/ (m² K)

(e) The total rate of heat transfer from the sphere to the surroundings

(f) The combined heat transfer coefficient for the sphere