Such a shallow shape is prone to Pretzelling or Pringleing, that is why I am dubious about your tolerances. The good news is that when you fasten it to whatever else the thing will happily deform to comply. If you actually need it not to pretzel/pringle then you need some ridges, look at a steel wheel as an example.
(Christine it is about the size of the end of a small railway engine with the big domed door used for cleaning the tubes, called the smokebox door)