I had a decent sized scrap of bronze that I dished out to become a shield boss. I ballpeened an initial depression using an upturned BrakeDrum. Most auto garages have them as scrap.
I went to Midas Muffler. I explained i was a hobby blacksmith and I was looking for some brake drums. They let me have a couple from their scrap pile.
After the initial depression, I flipped the bronze over and spread the bronze to shape. It really helps to have a cut out of the shape you want your project to become. I was comparing, spotchecking and eyeballing the thing throughout the process.
A ball hitch was handy at first to hammer against because it allowed me to refine the circumferance and begin to define the downward slope. At first, I went back and forth between the break drum ( hammering down the depression) and hammering against the trailer hitch (to progress an maintain shape of the hemisphere). Then I reached depth of depression/height of hemispere to where my trailer hitch just wasn't doing it any more.
I have a bunch of old Breaker Wrenches that I got real cheap. For people who dont know, breaker wrenches are non adjustable wrenches that are made solid enough to be hit with a hammer ( more often than not a sledge hammer) in order to loosen recalitrant nuts and bolts. The larger, thicker ones are well suited to hammer against (the crescent that is). Some of them have -S- shaped handles which come in handy when your project acieves some real depth because the straight handle can get in the way sometimes.
Of course none of this hammering against metal is possiple whithout a good, solidly mounted vise.
When you have hammered your form to the specification of your cut-out, you are now half done. A good set of files---large broad files and some patience along with lots of elbow grease-- and before long you will ( about a day) be able to move on to sandpaper. Start with large grit and move down to smaller grit.
Hmmmm! Makes me all warm and fuzzy just thinking about it.