I'm not confusing the volume of a cylinder with the amount of capacitance -- I'm pointing that very thing out by showing an example in which the two do not relate, namely two different capacitors that have the same volume but different capacitance.ACK! Do not confuse the volume of a cylinder with the amount of capacitance. It just muddies the waters. In this conversation, it is sufficient for capacitors of equal size have equal capacitance.
You could type for a week explaining all the different dielectrics, the advances in thin film technology in the last thirty years, and the different properties of each mechanical configuration, but it will not help Mr. Martinez with this question.
The notion that volume equates to capacitance has numerous problems. First of all, it creates the impression that the charge is stored in the volume between the plates instead of on the plates. Second, for a given configuration, the capacitance goes up as the plates are brought together, hence by decreasing the volume you are able to store more charge for the same voltage.