As drawn is tough to do the rounding unless you have one of two things: a) cnc capability or b) a ball end-mill of the right diameter.
So, next best, is to simply do the flat bottom (or the drilled powder chamber) and radius the inside corners. That is done by either rounding the corner of the drill bit done to do the drilling - with a grinder, or by using a rounded cutter on the boring bar.
With wall thickness being what we've both drawn, there is a wealth of material there and strentgh would only become an issue using say - an ounce or so of Unique or Bullseye. But I think it is important to do the easy thing of providing a rounded inside corner everywhere present to greatly reduce the stress points.
If you can, use the BIGGEST bit you can afford to cut the hole. That reduces the number of passes on boring.
I've got pictures of a home-built boring bar (using a milling cutter) that will cut 3/8 of metal in a pass. Takes clearing chips often, but that beats taking .020 at at time.