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When the pin is pushed into the cup the polystyrene (Styrofoam) is temporarily pushed aside. When the pin is withdrawn the polystyrene reforms largely to its original location. If a drill was used, the same diameter as the pin and material was actually removed the cup would leak. Also the water tension of the water in front of a hole the size of a pin would prevent the water from leaking out.

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Q: Why does the water not leak from a styrofoam cup poked with a pin?
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