A piece of ice floating in a glass of water melts but the level of water in the glass does not change. Explain this phenomenon.

Q. A piece of ice floating in a glass of water melts but the level of water in the glass does not change. Explain this phenomenon.
Ans. The density of ice is nearly 0.9 times that of water. Ice, therefore, floats in water with (nearly) 0.9 of its volume underwater and (nearly) 0.1 of its volume above water. The volume of water, displaced by a piece of ice, of volume V is, therefore, 0.9 V. When the ice melts, the volume of water formed, from a volume V of ice, is only (nearly) 0.9 V. Hence, when the ice melts, there is no overall change in the level of water. There is, therefore, no overflowing of water, from the glass of water, filled to the brim.

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