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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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Matthew414 · 31-35, M
From what I remember from my fluid mechanics class in college (engineering major here) the water will not overflow the cup when the ice melts. Nor would the water overflow the land masses if the glaciers melt.