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Question
A cylindrical bucket 28 cm in diameter and 72 cm high is full of water. The water is emptied into a rectangular tank 66 cm long and 28 cm wide. Find the height of the water level in the tank.
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Solution
Let h be the height of rectangular tank = volume of cylindrical bucket
`66 xx 28 xx h = pi (28/2)^2 xx 72`
`66 xx 28 xx h = 22/7 xx 14^2 xx 14 xx 72`
`h =(22 xx 2 xx 14 xx 72)/(66 xx 28)`
` h = 24cm`
Hence, the height of rectangular tank is 24 cm.
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