greater
The density of helium is less than that of air. Due to this reason, balloons filled with helium will float in air.
Air's density is less than that of water. Water's density is almost 800 times greater than air.
greater
Yes, given the same volume of both.
'Cold' air will have less volume so the density is greater.
-- If the object floats in water, then its density is less than the density of water. -- If the object sinks in water, then its density is more than the density of water. -- If the object floats in air, then its density is less than the density of air. -- If the object sinks in air, then its density is less than the density of air.
More resistance, caused by a greater density.
To float in air, the density of the balloon (divide the combined mass of balloon + contents by its volume) must be LESS than that of the same volume of air. If the gas inside the balloon has a greater density than air, the combined object (balloon + contents) won't have less density than air, either.
They stay the same :)
The density of heated air is less than the density of cooler air.
B/c the density of the ice cube is greater than the density of the air.
Air density - at least, the average air density - pretty much depends on the altitude. I suggest you look up the altitude of both places (you can probably find it on the corresponding Wikipedia articles); the place with the lower altitude should have a greater air density.