But how can you be sure that it is exactly half? I mean there will some lost of precision due to estimation.
I'd say there's as much loss of precision as there is in pouring from one container to the other (there's always left over water in the original container...even if it's just drops)...
I fully admit that my method has a number of built in assumptions:
- My original assumption that the beakers are perfect cylinders/rectangular prisms
- The containers hold EXACTLY the number of gallons represented...not a drop more, nor less...(of course, this causes problems in that the second you MOVE a container to pour into another, you would lose some...unless you had an infinitely steady hand...)
- You have a perfect eye and can tell the exact second the bottom corner is visible and stop pouring at exactly that time
- I'm treating this as a purely mathematical problem...meaning I'm ignoring the surface tension of water, any distortion caused by the beakers in your reading, etc..
Definitely not a perfect answer, but I'd say you could get "close enough" with it...much closer than just guessing the amounts