Calc: Calculating Volume of a Pipe

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The volume of a pipe is calculated using the formula V = π x r² x height. A user initially calculated the volume of water in a 22 mm pipe over 11 meters and arrived at an incorrect figure of 400 liters due to a decimal error. After correcting the radius to 0.011 m, the accurate volume was recalculated to approximately 4.18 liters. The discussion emphasizes the importance of carefully tracking units during calculations. Accurate unit management is crucial for correct volume assessments in pipe calculations.
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I understand that the volume of a pipe is the circle pi x r (sq) x height

I have worked out the volume of water inside a pipe running from the shower to the boiler (cold water that will run through the tap before the hot water arrives) and it does not make sense. The pipe is 22 mm; the distance (h) is 11 metres

So: pi x 0.11 (sq) x 11 = 0.418 m3 = 400 l ?

It can't be, surely! 400 Litres? I guess it around 42 litres, but where did I go wrong with the decimal points?

Thanks

qim
 
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its 22mm is 0.022m not 0.22
 
Thanks.

But now I get 0.004 which is 4 litres. It seems too little
 
Your formula should be V = pi * (0.011 m)^2 * 11 m = 4.18e-3 m^3. A liter is 1e-3 m^3, so your answer is 4.18 liters.

The lesson here is to keep close track of your units, by actually WRITING THEM DOWN.
 
Thanks!

qim
 
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