Question

A cube of ice of specific gravity $0.90$ floats in a cup of water. Several hours later, the ice cube has completely melted into the glass. How does the water level after melting compare to the initial water level?

• A. The water level is unchanged after melting.
• B. The water level is $10$% higher after melting.
• C. The water level is $90$% higher after melting.
• D. The water level is $10$% lower after melting.

Answer 1

Answer: (A)

The water level is unchanged after melting.

According to Archimedes' Principle, volume of the water displaced by ice equals the total weight of the ice. When the ice melts and convert into water, then the volume of the melted ice equals the initial volume of ice inside the water. Hence, the level of water does not change.