If a marble of radius 2.1cm is put into a cylindrical cup full of water of radius 5cm and height 6cm then how much water flows out of the cylindrical cup?

# If a marble of radius 2.1cm is put into a cylindrical cup full of water of radius 5cm and height 6cm then how much water flows out of the cylindrical cup?

1. A

2. B

3. C

4. D

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### Solution:

Given,
The radius of marble is 2.1 cm
The radius of cylindrical cup is 5 cm
The height cylindrical cup is 6cm.
We know as per Archimedes principle,
Volume of water flows out of cylindrical cup = Volume of marble
Volume of marble is given by  .
Volume if water that flows out of the cylindrical cup = volume of marble
We get,
Therefore, the amount of water flows out of the cylindrical cup is 38.8 cm  .
Hence, the correct option is 2.

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