Do you have a heater keeping it at 200 deg F, or is this just the initial temperature?
Either way, it is a simple conduction/convection problem, conduction through the walls, convection to the ambient air. You need the heat transfer coefficient of the HDPE to solve this problem, which should be easy to find.
Also, I believe the max. temperature rating for continuous use of your average HDPE is right around 200 F. I don't know your application, but you should be careful operating near the maximum temperature limit.
Reidh