MHB Partial Volume of a Cylinder Calculation

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The discussion revolves around calculating the partial volume of a cylinder for an Excel spreadsheet project. A user seeks clarification on a specific formula, particularly the R sq cos -1 section, and how to apply the cosine function within it. Another participant suggests a formula format for Excel, emphasizing the importance of parentheses for proper order of operations. Despite attempts, the original poster finds the provided formula does not work in Excel and decides to continue investigating. The conversation highlights the challenges of applying mathematical formulas in spreadsheet software.
CivCalc
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It's been a long time since I've attended school, over 33 years ago. So my question may seem basic to many here. I wish to calculate the partial volume of a cylinder for my excel spreadsheet project. The formula I've found is attached. (unable to type it)

But I do not fully understand this formula. Particulalry the R sq cos -1 section. Could somebody please explain how I use cos
Thank You

View attachment 7715
 

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  • Formula.PNG
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Hello, and welcome to MHB! (Wave)

I don't use Excel, but I imagine it would be something like:

Code:
V=L*(R^2*ACOS((R-D)/R)-(R-D)*SQRT(2*R*D-D^2))
 
Thanks for response. No doesn't work on excel but that's OK, I'll investigate further
 
CivCalc said:
Thanks for response. No doesn't work on excel but that's OK, I'll investigate further

The Basic Spreadsheet
View attachment 7728
B1:B3 are the desired input values.

The formula in B5
View attachment 7729
I added a few sets of parentheses to emphasize order of operations.

You COULD name the cell ranges and refer to their meanings, rather than the cell addresses.
 

Attachments

  • Spreadsheet1.jpg
    Spreadsheet1.jpg
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  • Spreadsheet2.jpg
    Spreadsheet2.jpg
    5.8 KB · Views: 125
Yeah, I figured what I gave was correct. :)
 

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