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Standard X

Mathematics

Volume of a Cylinder

Water flows a...

Question

Water flows at the rate of 15 km/hr through a pipe of diameter 14 cm into a cuboidal pond which is 50m long and 44m wide. In what time will the level of water in the pond rise by 21 cm?

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Solution

Given diameter of cylinder = 14 cm
Therefore radius of cylinder, r = 7 cm
Volume of cylinder = πr²h cubic units
Volume of water flowing through the cylindrical pipe in 1 hour at the rate of 15km/hr
= (22/7) x (7/100) x (7/100) x 15000 = 231 $m^{3}$
We know that volume of cuboid = lbh cubic units
Therefore volume of water in the tank = 54 x 44 x (21/100) = 462 $m^{3}$
Time taken = (462/231) = 2 hours

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Water is flowing at the rate of 15 km/hr through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tank will rise by 21 cm.

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