A glass of water has an ice cube floating in water. The water level just touches the rim of the glass. Will the water overflow when the ice melts?

Explanation

When ice floats in water, it displaces its own weight of water Let V be the volume of water displaced On melting the ice will form exactly this volume V of water and just fill up the spece which the ice displace. So when ice melts, there will be no change in the level of water in the tumbler.