Hot water pipes

Hot water pipes in a home typically move water at a temperature of roughly 110 F = 43 C. We want to compare heat loss due to convection to heat loss due to radiation. The heat transfer coefficient inside the thin copper pipe is 250 W/m2-C, while the outer h = 14 W/m2-C. For this estimate we will treat the pipe as a blackbody, and ignore any back-radiation from the room, which has a temperature of 20 C. State any assumptions or approximations you make, and find the ratio = convective heat loss / radiation loss? a) 97 b) 8.7 c) 14 d) 71 e) 0.54