Gconsider a circular ice rink in a hemispherical dome. the diameter of the dome is 100 m and the diameter of the circular ice rink is 50 m. the center of the circular dome is located at the center of the dome. the temperature at the ceiling of the hemispherical dome is designed to be maintained at 15 ºc while the temperature of the ice rink surface is fixed to be -5 ºc. the surfaces of the ceiling and the ice rink are assumed to be gray surfaces with the emissivity of 0.5. estimate the rate of heat transfer from the dome ceiling to the ice rink