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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 then the change in the level of water in the jar is 3.41 cm.

State true or false.

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True

False

answer is A.

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Detailed Solution

Given, internal diameter 10 cm and four equal spherical balls of diameter 2 cm each are dropped in it.
Radius of cylinder =5 cm.
Radius of sphere= 1cm.
We know that volume of cylinder=

π r 2 h

and volume of sphere=

43 π r 3

.
The volume of water increased = Volume of 4 balls which means,

⇒ π × 52 × h = 4 (43 × π × 13) ⇒ 25 h π = 163 × 4 π × 4 ⇒ h = 3.41 c m

.
The change in the level of water is 3.41 cm.
Therefore, the given statement is true i.e., the change in the level of water in the jar is 3.41 cm.

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