Question

# Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.

Hint:

### If we recall the experiment of Archimedes, he told that if we put anything in water then the volume of the risen water will be equal to the volume of that thing. Here, we use this principle to solve the problem.

## The correct answer is: The rise in the water is 2 cm.

### Explanations:

Step 1 of 3:

Cylindrical vessel has base radius, = 9/2 = 4.5cm and let the rise in water level due to putting the iron piece in the vessel be cm.

The volume of the risen water cm^{3}

Step 2 of 3:

The cylindrical iron piece has base radius = 6/2 = 3cm and height, = 4.5 cm

Then the volume of the iron piece == cm^{3}

Step 3 of 3:

According to the principle of Archimedes,

Final Answer:

The rise in the water is 2 cm.

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