You pour [[$ 0.930 $]] liters of water into a one-liter bottle and place in the freezer. As the water freezes, its volume increases by [[$ 8 \% $]]. How high will the bottle's cylindrical ice stopper with a volume of [[$ 5.00 $]] cm[[$ ^ 2 $]] protrude from the mouth of the bottle? (Source: Finnish matriculation exam, spring 1988)

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Answer: The ice stopper protrudes to a height of cm.