Volume of cylinder with a 45 degree branch

In summary, the conversation discusses how to calculate volume B and whether there is a formula to directly calculate the difference between volume B and volume A, taking into account the angle. It is suggested to divide the extra volume into strips and integrate.
  • #1
j.laland
1
0
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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  • #2
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:)
 

FAQ: Volume of cylinder with a 45 degree branch

What is the formula for finding the volume of a cylinder with a 45 degree branch?

The formula for finding the volume of a cylinder with a 45 degree branch is: V = πr²h + (πr²h)/2, where V is the volume, r is the radius of the cylinder, and h is the height of the cylinder.

How do you calculate the radius of a cylinder with a 45 degree branch?

To calculate the radius of a cylinder with a 45 degree branch, you will need to measure the distance from the center of the base to the edge of the branch. This distance will be your radius.

What is the significance of a 45 degree branch in a cylinder's volume calculation?

The 45 degree branch in a cylinder's volume calculation indicates that there is a slanted or angled section on the cylinder. This means that the formula for calculating the volume will be different than a regular cylinder with a straight edge.

How does the height of the cylinder impact the volume with a 45 degree branch?

The height of the cylinder directly affects the volume with a 45 degree branch. The higher the cylinder, the larger the volume will be. This is because the formula for finding the volume includes the height as a variable.

Can the formula for finding the volume of a cylinder with a 45 degree branch be applied to other angled branches?

No, the formula for finding the volume of a cylinder with a 45 degree branch is specific to a cylinder with a 45 degree branch. Other angled branches will require a different formula for finding the volume.

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