It simply floats and slowly melts.
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The ice will begin to melt as the surrounding water transfers heat to the ice, causing it to raise in temperature until it reaches its melting point. Once the ice reaches this point, it will start to melt and change from a solid to a liquid.
The water fills up the cup, taking the shape of the cup and filling it to the top. If the cup can't hold any more water, it will overflow.
No, a cup filled with water is not a solid. The water inside the cup is in liquid form. A solid has a fixed shape and volume, whereas a liquid like water takes the shape of its container.
When a clump of mud is placed into a cup of water, the mud will begin to break apart and dissolve in the water. The water will start to become murky as the particles from the mud disperse throughout it. Over time, the mud will dissolve completely and the water may become muddy depending on the amount of mud and the water volume.
The most dense form of water is liquid water. Ice is less dense than liquid water, which is why ice cubes float in a glass of water. Water vapor is the least dense form of water, as it is a gas and occupies more space compared to liquid water and ice.
You could use a measuring cup or a liquid measuring jug to find out the volume of liquid a jar can hold. Fill up the jar with water, then pour the water into the measuring cup to determine the volume.