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Question

A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?

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Solution

In the given problem, let us take the change in the level of water be h cm.

Also, it is given that,

The diameter of the spherical balls = 2 cm

So, radius of spherical balls (rs) = 1 cm

The diameter of the measuring cylinder = 10 cm

So, radius of the measuring cylinder (rc) = 5 cm

So, according to the question; the volume of the 4 spherical balls will be equal to the volume of the water increased.

We get,

Volume of 4 spheres = volume of the water raised

Therefore, the water level increases by.


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