The volume to mass ratio you speak of is usually called density, "density = mass / volume"
The density of water does change a little bit depending on the temperature. According to Wikipedia, the density decreases as temperature increases, meaning that the same mass of water takes up less space at a higher temperature. Check out the details and values on Wikipedia for more information.
molecules are less agitated and therefore more densely packed together
It is not always the case. If you are out in the cold with insufficient clothing, the important thing - to prevent hypothermia - is to MINIMISE the surface to volume ratio.
What is the volume of 35.7g of sodium chloride in 100cm3 of cold water?
Half a jug as the surface area to volume ratio is reduced therefore heat can escape quicker from the surface
Yes, hot water is less dense than cold water. This occurs because as the particles move faster when the water is heated, they begin to spread further apart. As a result, there is more space in between the particles, resulting in less density.
temperature
Perhaps because the high surface area to volume ratio that ears have. Because of this the heat loss from your ears to the water will occur at a higher rate than for other areas of your body.
When water freezes, it expands in volume; most liquids decrease in volume when they freeze.
No, cold water weighs more (for a given volume) than hot water. This is why there is a thermocline in bodies of water. But when water freezes, the solid form weighs even less (for a given volume), this is why ice floats.
9 for the hot and 5 for the cold. but that answer doesn't have enough volume so what is it
More particles can be dissolved in hot water then in cold.
I recommend putting hot water in your kettle and timing it getting to the boil, and repeating with the same volume of cold water. Then have a think about why this happens.