At what net rate does heat radiate from a \(275~m^{2}\) black roof on a night when the roof's temperature is \(30.0^{\circ}C\), and the surrounding temperature is \(15.0^{\circ}C$? The emissivity of the roof is 0.90 [Stefan-Boltzamann Constant \(=5.67\times10^{-8}Js^{-1}m^{-2}K^{-4}$].
