Water is flowing at the rate of 5km/hr through a pipe of diameter 14cm into a rectangular tank of dimensions 50m×44m.Find the time in which the level of water in the tank will rise by 7cm
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Step-by-step explanation:
Let the level of water in the tank will rise by 7 cm in x hrs
As the rate of flow of water is 5km/hr.
∴ Its length in x hrs =5x=5000xmetres Water column forms a cylinder whose radius is
⇒r= 14/2 cm
= 7/100 m
Volume of water flowing through the cylindrical pipe in x hrs
=πr^2h
=22/7×(7/100)×5000x
=77xm ^3
Vol. of water that falls into tank
=50×40×7/100 m ^3
=154m ^3
But, the volume of water flowing through the cylindrical pipe in x hrs = Vol. of water that falls in a tank in x hrs.
⇒77x=154
∴x= 154/77
=2hr.
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