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Question
A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.
Solution
Given, side of a cube = 11 cm
∴ Volume of cube= (Side)3
= 11 × 11 × 11 cm3
= 1331 cm3
Given, diameter of cylinder = 28 cm
∴ Radius (r) of cylinder = `28/2` = 14 cm
Volume = 1331 cm3
∴ Rise in water level = `"Volume"/(pir^2)`
= `(1331 xx 7)/(22 xx 14 xx 14) cm`
= `121/56 cm`
= 2.16 cm
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