Water is flowing at the rate of 5 km per hour 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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Answer:
Let the level of water in the tank will rise by 7 cm in x hrs
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=
2
14
cm=
100
7
m
Volume of water flowing through the cylindrical pipe in x hrs
=πr
2
h
=
7
22
×(
100
7
)
2
×5000x
=77xm
3
Vol. of water that falls into tank
=50×40×
100
7
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=
77
154
=2hr.
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