Question

Find the volume of a ring immersed in water, increasing the level from 55.2ml to 75.3ml.
(A) 20.1ml
(B) 29ml
(C) 10.1ml
(D) 14.1ml

Answer 1

Hint: This could be simply solved by simply getting the change in volume. It could be calculated by subtracting final volume to initial volume. Here, we will use the basic formula of speed, distance and time:
 $ \Delta V = {V_f} - {V_i} $
Here, $ \Delta V $ is the change in volume of water
 $ {V_f} $ is the final volume of water
 $ {V_i} $ is the initial volume of water.

Complete step by step answer
We already know the initial and final volume of water.
 $ {V_i} = 55.2ml $
 $ {V_f} = 75.3ml $
Applying the formula:
 $ \Delta V = 75.3 - 55.2 = 20.1ml $
Thus, the volume of the ring is 20.1ml.
So, the correct option is A.

Additional Information
Archimedes' principle, physical law of buoyancy, discovered by the ancient Greek mathematician and inventor Archimedes, stating that any specific body completely or partially submerged in a fluid at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid. When a solid body is partially or completely immersed in a fluid, the fluid exerts an upward force on the body, whose magnitude is equal to the weight of the displaced fluid.

Note
Archimedes' principle is very useful for calculating the volume of an object that does not have a regular shape. The oddly shaped object can be submerged, and the volume of the fluid displaced is equal to the volume of the object. It can also be used in calculating the density or specific gravity of an object. The applications of Archimedes' principle are used in designing ships and submarines. It is also used in lactometers as based on Archimedes' principle it is used to measure purity of a sample of milk. In hydrometers it is used to measure the density of liquids.