For the same mass, yes.
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This would depend on its volume and mass. Density = mass / volume. If the cotton is compressed it will occupy less volume, so the density becomes greater.
No. Volume = Mass / Density Therefore, for the same mass, if the density is higher then the volume is less. This makes perfect sense if you think about it. The atoms of the object are closer together (it is more dense) and so less space (volume) is taken up.
The density of an object is its mass divided by its volume. If that is less than the density of water, it will float; if greater it will sink
Density = Mass / Volume Rearranging this gives: Volume = Mass / Density Mass = Density × Volume
volume = mass/density and density = mass/volume