Question

$3$ marbles $A,B$ and $C$ are taken at random. A measuring cylinder is filled with water and the three marbles are dropped one by one in the cylinder. The amount of the water displaced by each marble is given below. Which of the marbles has the greatest volume?
Marble $A:10.10ml$
Marble $B:10.01ml$
Marble $C:10.11ml$

• A. Marble $A$
• B. Marble $B$
• C. Marble $C$
• D. All marbles have equal volumes.

Answer 1

The correct option is C Marble $C$

Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid.

So according to this Marble C has greatest volume because it displaced the most amount of water.