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I have a science question?

If you fill a large glass with ice, then fill it to the top with water, as the ice melts how long will it take for the glass to start overflowing?
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robb65 · 56-60, M
I'm thinking water expands as it freezes so when it melts it will take up less space. It shouldn't overflow as long as the ice wasn't sticking up WAAY above the glass to begin with.