A block of ice is floating in a bucket of water full up to the brim

A block of ice is floating in a bucket of water full up to the brim. Some position of ice is visible above the water level. As it melts completely do you expect water to spill out? Give reason for your answer.

As we know that, volume of ice is greater than that of water, so in this case when ice melts, it occupies the volume less than that occupied by the ice dipped in it, so water level will not spill out.