@General T. Winters (22 July, 2016, 9:14 AM UTC):
I would suppose that it stays in there, if no one takes a sip form it... :)
Otherwise, the relative "height" wouldn't change since the ice displaces its volume equivalent of water, so when it melts it occupies the same amount of space as it did when floating.
1. The water nearest the ice cubes will get colder
2. The water level will likely decrease, as usually air is trapped in ice cubes from the freezing process
3. My pet cyberdog will likely try and drink from the darn thing.
4. There will no longer be ice in the cup
5. I will drink it and become hydrated and healthy
6. The ice cubes will get smaller
7. The ice cubes will sink into the glass of water
8. The ice cube's outer temperature will raise
9. The ice cubes will melt from the outside in
10. I have no bucking clue
11. Just because I wanted 11 answers