To muse about volume, space and holding capacity

The physicist says mass = density × volume. Here he does not ever use holding capacity.
For a mathematician holding capacity and volume are identical.

Look at the next example:
A liter bottle has been made of 40 cm3 glass and contains 0·2 liter soda.
What is the right name for these data?

A massive object should have a volume.
Then the volume of the bottle equals 40 cm3.
The bottle as a hollow object offers space; in this case 1·0 liter.
This 1·0 liter should be called the holding capacity of the bottle.
in the bottle are 0·2 liter soda and 0·8 liter humid air.
That is the content of the bottle.
The volume of the soda is 0·2 liter and
the volume of the air is 0·8 liter.

I try to define this neatly:
  • the volume of a (massive) object is the amount of space it takes.
  • The holding capacity of a hollow object is
    the maximum amount of space it can offer to other objects.
  • The content is what actually is present in the holle object.
    The last you can display as mass, volume or an amount of mol.
The holding capacity of a closed cilinder = the volume of the gas being in it. (if there is only a gas (mixture)).

The water displacement of a ship, a number of m3
is the volume of the displaced water.

Volume, space, water displacement, m3, liter and holding capacity (if it is a number of dm3)
all belong to the physical dimension volume.

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