Question

A piece of ice is floating in a glass vessel filled with water . How will the level of water in the vessel change when the ice melts?

Answer 1

Let m be the mass of ice piece floating in water.

In equilibrium, weight of ice piece = upthrust

Here, Vi is the volume of ice immersed in water

When the ice melts, let V be the volume of water formed by m mass of ice. Then,

From Eqs. (i) and (ii), we see that

Vi = V

Hence, the level will not change.