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Probability

Question
CBSEENMA9003531

A cylindrical container of base radius 28 cm contains sufficient water to submerge a rectangular block of iron with dimensions 32 cm x 22 cm x 14 cm. Find the rise in the level of water, when the block is completely submerged.

Solution

Let the rise in the level of water be h cm.
Then,
Volume of water displaced
= Volume of block
rightwards double arrow space space space straight pi left parenthesis 28 right parenthesis squared straight h equals 32 cross times 22 cross times 14
rightwards double arrow space space 22 over 7 left parenthesis 28 right parenthesis squared straight h equals 32 cross times 22 cross times 14
rightwards double arrow space space space space space space straight h space equals space 4
Hence, the rise in the level of water is 4 cm.