I put ice in a glass. I fill the glass to the top. When the ice melts does the glass overflow?
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Not only does it overflow, it drowns any nearby polar bears!
No. But if take glass that is full to the brim and drop an ice cube in it will.
This is a glacier, not an iceberg. The glacier currently resides on land and is currently flowing toward the sea along with its burden of gravel, sand, and grit.