One would have to know the exact shape and inside dimensions.
Im doing an assingment where it has asked to find a way to calculate the exact volume of liquid held in a champagne glass when filled to a depth of 2cm.
If anyone could help it would be greatly appreciated!
Yes, Logic, I thought of that, but decided against it as a solution to the problem as stated. With the physical experiment, one would have to deal with the meniscus and the precision of the measuring instrument. Would that be "exact"? This would be an excellent verification of the mathematical model.
There you go, Lara. You can have some fun with this one. Don't make too big a mess in the kitchen.
"As far as the laws of mathematics refer to reality, they are not certain, as far as they are certain, they do not refer to reality."
Well, I am not sure. It wouldn't cause much difference if it's water.. or champagne. But sticky materials with higher density might, indeed, draw a line between the real and theoretical.. and that's more physics than mathematics.
Do you have a better idea?