how can you determine the amount of volume in a paper cup?

Answer 1

Fill it with water and then measure the amount of water that the cup held.

Answer 2

Apart from filling the cup & measuring the contents, find the volume of the truncated cone that forms the body of the cup (if it's not a cylinder). The lip diameter of the cup is the base, the bottom of the cup is the difference in height from a full cone to the height of the cup. You will need to know the angle of the cup wall to find height, h.

If (a) = angle between lip diameter and cup wall
r = (lip_diameter/2)
(hfullcone) = sin(a) * r

Volume = [1/3 pi * r^2 * (hfullcone)] - [1/3 * pi * r^2 * (hfullcone-hcupheight)]

Answer 3

In science class we used a real fine scale and filled the paper cup all the way up. Then we poured the water into a container, (already weighed) on the fine scale and weighed the amount of water. Water weighs a precise amount I think about 8 pounds to the gallon, then you calculate the volume by the weight of the water. You need a real fine scale that weighs in grams

Answer 4

Depends upon which type of paper. If it will hold water for a few seconds, without disintegrating, fill it with water and then pour that water as fast as you can without spilling it, into a kitchen measuring cup.

If it won't hold water, then try to find other materials that will pour.

Beads work, but it may be hard to find enough.

Rice or salt or sugar, will work, flour tends to pack more thus hard to measure, do the same as with water, that is, put it in the mcasuring cup and level it then read the measuring cup at that level.

Otherwise, you may need to measure it and use formulas to calculate.

Answer 5

Depends on the size of the paper cup. Is it a small Dixie Cup or is it a normal sized cup?