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The outside air pressure dents the tin.

The water or air inside a sealed metal container will contract when cooled from the outside (by conduction through the can). When it was sealed, the pressure on the inside was the same as on the outside. But the contraction reduces the pressure on the inside, causing the external air pressure to squeeze the can, and possibly cave it in.

This is widely demonstrated in another experiment using dry ice. A sealed gasoline can of about a gallon (4 liters) is placed on a dry-ice bed and cooled until the outside air pressure crushes the can.

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