A piece of ice has a stone in it and floats in a vessel containing water. When the ice melts, the level of water in the vessel would

Let the mass of ice and stone be mice  and mstone  respectively. When both float together in water, then volume of water displaced isVinitial=mice+mstoneρw                        {∵ Vinitialρwg=(mice+mstone)g}Where ρw  is the density of water.Finally, when the ice melts, then the mass mice  gets converted to water of volumeV1=miceρwFurther, the stone sinks to the bottom as a result of which a volume V2  of water is displaced by it.So,V2=mstoneρstoneSo, total final volume displaced isVfinal=miceρw+mstoneρstoneSince ρstone>ρw , soVfinal