Calc: Calculating Volume of a Pipe

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    Pipe Volume
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Discussion Overview

The discussion revolves around calculating the volume of water in a pipe, specifically addressing the formula used and the resulting volume based on given dimensions. The context includes a practical application related to plumbing and water flow.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant initially states the formula for the volume of a pipe as V = π × r² × h, using a radius of 0.11 m and height of 11 m, leading to a calculated volume of 0.418 m³, which they question as being too large.
  • Another participant corrects the radius conversion, indicating that 22 mm should be 0.022 m instead of 0.22 m.
  • The original poster recalculates using the corrected radius and arrives at a volume of 0.004 m³, which they feel seems too low.
  • A further reply provides the corrected formula and calculation, confirming the volume as approximately 4.18 liters, emphasizing the importance of tracking units throughout the calculation.

Areas of Agreement / Disagreement

Participants generally agree on the formula for calculating the volume of a pipe, but there is uncertainty regarding the initial calculations and the interpretation of the results. The discussion reflects a process of correction and refinement without a definitive consensus on the initial confusion.

Contextual Notes

There are limitations regarding the initial assumptions about the radius and the importance of unit conversions, which were clarified during the discussion. The calculations depend heavily on accurate unit representation.

qim
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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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