water is being pumped out through a circular pipe whose internal diameter is 7 cm. If the flow of water is 12 cm/s how many litres of water is being pumped out in an hour
Answers
Answer:
we have,
Radius of the circular pipe
2
7
cm
Clearly, water column forms a cylinder of radius
2
7
cm
It is given that the water flows out at the rate of 72cm/sec
Length of the water column flowing out in one second=72cm
Volume of the cylinder of radius
2
7
cm and length 72cm
⇒ π(
2
7
)
2
×72cm
3
=
7
22
×
2
7
×
2
7
cm
3
=2772cm
3
Volume of water flowing out in one hour
⇒ (2772×3600)cm
3
=9979200cm
3
=
1000
9979200
litres=9979.2litres
Answer:
Step-by-step explanation:
Diameter of circular pipe = 7 cm
so, radius of circular pipe (r) = 7/2 cm
Length of water per sec = water flow through pipe per sec( h ) = 72cm
now, volume of water per second = volume of cylinder per second
= π r²h = 22/7 × 7/2 × 7/2 × 72
= 77 × 36 = 2772 cm³
we know,
1 litre = 1000cm³
So, volume of water per sec = 2.772 litres
Now, volume of water in one hour = volume of water per second × 1hour
= 2.772 × 3600 litres [ 1 hour= 3600 sec ]
= 9979.2 litres