Are you ready for this?
The electrical energy produced by a battery is a result of a chemical reaction. That chemical reaction also has a characteristic of producing heat. The speed of production of the electricity is determined by what chemicals are used. The amount of electricity is determined by how much of the chemical 'goo' is present. So, larger quantities of 'goo' can produce/provide a larger current flow than smaller quantities of 'goo' (volume). As long as the 'goo' stays the same stuff, don't switch types of batteries, nimh's, nicad's, lipo's, etc, if the volume is 4 times as large, the current flow can be 4 times as fast. Not really, since the larger volume of 'goo' also means that the current has to flow a longer distance to get to the terminals of the battery. But it does work out to something related to the 'size' of the battery (in comparison to the size of the battery it's being compared to).
That is a semi-scientific approximation of an explanation by someone who hasn't had enough coffee yet, and doesn't really know what he's talking about. I warned you , didn't I? And like they always say, "No matter where you're at... there you are.".
- 'Doc
Oh yeah, the heat production. As long as the electricity produced is greater than the heat produced. And as long as the heat isn't produced much faster than the electricity, the thingy is called a battery. When the speed of heat production is much greater, and faster than the electricity's production, it's called an explosive device. Except if the device is produced by 'Radio Shack', and then it's called junk.