I use 2.5" seedling pots, then 1gallon pots up to FD21-25 or so. Then into 5-gallon pots. I do 35-42 days of vege. The 5-gallon pots are probably a bit too large, but a 3-gallon might be a tad on small side. If soilless/hydro, less of a problem in a 3-gallon than in soil.
they way they measure these pots is messed up -- sometimes it's referring to compressed volume.
So, my 5-gal is tapered but 11.5-12" wide at top and about 11" tall. Think 10-10.5" wide at bottom. I see lots of roots on side, but nothing wrapping around at bottom. Slightly smaller would be great, but i don't see that option nearby. Most of flower requires daily irrigation due to rate of drinking.