can you answer this question ans show all of the work?

You are asked to design a metal hot dog holder for roasting hot dogs over an open campfire. The holder is to be designed such that while the end holding the hot dog becomes cherry red (1400F), the other end can still be held without using an insulated handle or glove (95F). Design it such that it can be used even on a warm, still day, Tf=90F (Assume the convective heat transfer coefficient, h, for a horizontal cylinder is uniform over the whole cylinder and equal to 4.0 Btu/hrft20F)