Force exerted over the area would be better than "powerful". Sorry. I'm dragging 30 year old knowledge out. Wish I had that equation handy. You would never have to build a big bottle thicker- such as a champagne bottle to contain the pressure, based on your assumption. A longneck can can easily hold the volumes a champagne bottle holds. Whereas if the champagne bottle had walls the thickness of the longneck it would be more likely to rupture from the pressure.
A growler is usually pretty hefty. I'd trust less than 3 volumes in mine.
It's been a long time for me too, but not 30 years
I see what you mean now, but you're still a bit off the mark. I mean, you're kind of right, but for the wrong reasons.
It is independent of the volume of the vessel, what matters is the radius of the cylinder. As the radius of the cylinder increases, the wall thickness will need to increase in order to withstand the same pressure because the glass is subject to higher stress. It is the shape that matters, not the size. A 12 oz bottle shaped like a whiskey flask will need thicker walls than a cylindrical 12 oz bottle. By the same token, a cylindrical 64 oz bottle with the same wall thickness and radius as a standard 12 oz bottle (and as tall as it needs to be) will hold the pressure just as well as the 12 oz bottle.
