Volume Compression in Cylinders: Does Diameter Affect Rate of Loss?

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Timothy Schablin
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Say we have 2 cylinders with the same volume capacities, but different radii, and a plunger to 'squeeze' the contents. We apply the same force to each plunger. Will the cylinder with the larger radii lose volume faster? Or will they be equal?
 

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Timothy Schablin said:
Say we have 2 cylinders with the same volume capacities, but different radii, and a plunger to 'squeeze' the contents. We apply the same force to each plunger. Will the cylinder with the larger radii lose volume faster? Or will they be equal?
How are force, pressure and area related for a piston in a cylinder?
 
A question on a test that i got wrong.

If you exert a force of 25 on a plunger of a cylinder containing air with an initial volume of 7, then exert the same force on the plunger of a smaller diameter cylinder, but with same volume of air, the cylinder with the larger diameter will compress less.

I disagreed with that statement, therefore got it wrong. I claimed the final volume of compressed air would be the same in each cylinder.

Oh well. More studying to do i guess...