Volume of cylinder with a 45 degree branch

[j.laland]

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

 

[tiny-tim]

Welcome to PF!

Hi Jens! Welcome to PF!

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

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