An object is added to a graduated cylinder containing 12. 5 ml of water. If the volume of the object is 7. 6 ml, what is the new volume of the water?.



Answer :

Pour enough water into the graduated cylinder to cover the object and read the volume. The object is placed on the cylinder and the volume is read again.

The difference between the two volumes is the volume of the object. The mass of the displaced liquid can be expressed in terms of density and volume m = ρV. The weight of the displaced liquid is W = mg. where g is the acceleration due to gravity. Therefore, the weight of the displaced liquid can be expressed as W = ρVg. The idea here is that the increase in water volume in the cylinder is due to the metal volume. This means that we can calculate the volume of metal by looking at the volume occupied by water + metal in the cylinder and the volume occupied by water alone.

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