How do you measure the capacity of a water bottle?

The provided reference shows one method to estimate the remaining volume inside a water bottle, but it doesn't fully address how to measure the total capacity of a water bottle. However, we can infer how to measure the capacity based on the principles demonstrated in the reference.

The video "51) Find volume of water in the bottle, using a ruler only ... - YouTube" illustrates a method to determine the volume of air (and thus, indirectly, the remaining volume) in a partially filled cylindrical bottle by tilting it and measuring the height of the air pocket. The principle leveraged is that the air pocket forms a cylindrical shape, and its volume can be calculated using the formula for the volume of a cylinder.

Here's how you can measure the capacity (total volume) of a water bottle:

1. Fill the bottle completely with water. Make sure the water level reaches the very top of the bottle, representing its maximum capacity.

2. Pour the water into a measuring cup or graduated cylinder. This device has markings that indicate specific volumes.

3. Read the volume of water in the measuring cup/cylinder. The reading will indicate how much water the bottle can hold.

While the video doesn't directly detail this process, the underlying concepts of volume calculation are relevant. The video estimates the volume of air in a partially filled bottle. To find total capacity, one measures how much water the bottle can hold.

Alternatively, applying the method from the reference requires an indirect approach:

1. Partially fill the bottle with water.
2. Measure the dimensions of the bottle (height, radius). If it's not a perfect cylinder, approximate using average values.
3. Measure the height of the empty space when tilted. According to the video, "the air height is 4 centimeter when bottle is tilted. And this again is cylindrical in shape."
4. Calculate the volume of empty space using the cylindrical volume formula (πr²h).
5. Fill the bottle completely.
6. Calculate the bottle's volume completely when its full with water using the cylindrical volume formula.
7. Subtract the calculated volume of empty space from the total volume of full water capacity of the bottle. This gives you an estimate of the water volume. This method relies on geometric calculations and is less accurate than direct measurement.