"Water" is the name for both:
Figure 1.
Water in a glass
. Source.
Figure 3.
Simplified phase diagram of water
. Source. Note the triple point and critical point visible. Phase diagrams are so cool!
Ice is the name of one of the solid phases of water.
In informal contexts, it usually refers to the phase of ice observed in atmospheric pressure, Ice Ih.
Applications:
Cody'sLab had a nice 5 video series on making it at home! But the United States Government asked him to take it down as suggested at Video "What's Been Going On With Cody'sLab? by Cody'sLab (2019)" at youtu.be/x1mv0vwb08Y?t=84.
Here's a copy online as of 2020: www.youtube.com/watch?v=bCXB6BdMh9Y

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