Okay, then I had it right the first time. I have only seen the one house where it was on the roof deck, and it was just recently done, so I don't know how well it is working out. In answer to your question of the 2nd story being hot, I would expect it to get at least 10 degrees hotter than the outside air if you are not running the A/C. If your are talking about the temperature with the A/C running, Then you have a totally different problem.