Volume of cylinder with a 45 degree branch

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SUMMARY

The discussion focuses on calculating the volume of a cylinder with a 45-degree branch, specifically volume B, while excluding volume C. Jens Laland inquires about a formula that accounts for the angle as a variable and provides a direct difference between volumes A and B. The response suggests dividing the extra volume into strips and using integration to derive the solution, indicating the complexity of the calculation.

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j.laland
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Refering to the http://lab.artematrix.org/images/PIPE_BRANCH.jpg" , my question is:

How to calculate volume B?

Please note, volume C is not to be considered part of volume B, it is included just to illustrate one of the boundries of volume B (the yellow liquid is just about to flow over and into volume B).

Actually, is there a formula that will give the difference between volume B and volume A, directly (and that include the angle as a variable)?

best regards,
Jens Laland
 
Last edited by a moderator:
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Welcome to PF!

Hi Jens! Welcome to PF! :smile:

You'll have to divide the extra volume into strips, and integrate. :smile:

(you didn't really expect it to be easy, did you? :wink:)
 

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