About 92 mL. Water's density is 1 g/mL at 4 oC. Because the water is hot, it will be a little lower than that, but the density does not change that much over the temperature range. If you want an exact number, you can find a list of the density of water at different temperatures at engineeringtoolbox.com
This depends on many factors: volume, mass, geometry of the container etc.
molecules are less agitated and therefore more densely packed together
That would depend on the temperature of the cube and the water along with the volume of water and the mass of the ice cube and its area.
When air is heated, that volume of air expands (which is why hot air balloons go up). The hot air has changed in volume, but it is still the same mass.
Don't know what you are asking here. Mass is a innate property of matter you cant decrease mass. You can however increase volume (especially in gasses) so that the mas is spread out over a larger volume (usually by adding heat) and this DOES decrease the density. That is why hot air/water rises.
Temperature does not affect mass on a balance directly. its effect is simply a faulty reading for weighing something that is too hot.
A cloud has a low mass but a high volume. Despite being large and fluffy, the individual water droplets or ice crystals that make up a cloud are incredibly light.
Merely heating a volume of water will only have a minuscule effect on the weight of the water. Heating the water will however cause it to expand and thus have a lower density. (You have the same mass of water, but over a larger volume.)
Hot water is less dense than cold water because the increased temperature causes the water molecules to expand and spread out. As a result, the same volume of hot water displaces a larger mass of surrounding water, creating a stronger upthrust force due to the greater difference in density.
as is, a rock, because density is mass over volume and a hot air balloon has a lesser/similar mass (stuff) but is spread out (volume) more than a rock.
Not necessarily. The amount of heat in a cup of hot water and a pail of hot water depends on factors like their temperature, volume, and material. In general, a pail of hot water will likely have more heat than a cup of hot water due to its larger volume and higher overall energy content.
Hot water has higher specific heat capacity compared to air, meaning it can store more heat energy. This results in hot water having more potential to transfer heat to the body upon contact, causing burns. In contrast, hot air has lower specific heat capacity and cannot transfer heat as effectively as water, making it less dangerous at the same temperature and mass.