Verification: Water Discharge (Volume) Problem

Vertciel

Junior Member
Joined
May 13, 2007
Messages
78
Hello everyone,

Find the amount of water, in litres, discharged in 10 minutes from a pipe, 4 cm in diameter measured internally, if the water flows at a speed of 50 cm per second. (pi = 3.14)

Please check to see if I have computed the right answer. Thanks in advance.

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My Work:


If the water flows at 50 cm/s and the pipe's diameter is 2 cm, the volume of water being discharged = the volume of water that would fit in a cylinder with a height of 50 cm and radius 2.

Volume of discharging water = (pi)(4)(50)
= 628.32 cm^3

Therefore, 628.32 cm^3/s is being discharged --> 37699.2 cm^3/min --> 376992 cm^3/10 mins.

Since 1 L = 1000 cm^3: 376992 cm^3/10 mins = 376.992 L/10 mins

• In 10 minutes, 376.992 liters of water will be discharged from this pipe.
 
Vertciel said:
Hello everyone,

Find the amount of water, in litres, discharged in 10 minutes from a pipe, 4 cm in diameter measured internally, if the water flows at a speed of 50 cm per second. (pi = 3.14)

Please check to see if I have computed the right answer. Thanks in advance.

-----

My Work:


If the water flows at 50 cm/s and the pipe's diameter is 2 cm you meant the radius is 2 cm, correct?, the volume of water being discharged = the volume of water that would fit in a cylinder with a height of 50 cm and radius 2.

Volume of discharging water = (pi)(4)(50)
= 628.32 cm^3

Therefore, 628.32 cm^3/s is being discharged --> 37699.2 cm^3/min --> 376992 cm^3/10 mins.

Since 1 L = 1000 cm^3: 376992 cm^3/10 mins = 376.992 L/10 mins

• In 10 minutes, 376.992 liters of water will be discharged from this pipe.

377 liters looks fine to me.
 
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