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Online Cone CalculatorPrint this page

http://www.unikatissima.de/e/?p=2117    (back to normal view)

Monday, April 20, 2009 » Tags/categories of entry 11 Comments

My entry ‘Constructing a Cone’ was much to wordy ;-), therefore I wrote an online cone calculator.

 

Note: Unfortunately the online cone calculator seemingly doesn’t work under all circumstances and I don’t have the time to struggle through. That’s why I write the formula by all means behind.

Well, you have disabled javascript, which means that the online cone calculator doesn’t work anyway.

You have 2 options now:

  • enable javascript
  • calculate the cone data yourself using the following formula.




Formula:

The black cone is what we want to get.
small diameter = smaller desired diameter
large diameter = larger desired diameter
height = desired height
QT = small diameter / 2
RS = large diameter / 2
PQ = QT * height / (RS – QT)
PR = PQ + height

PT = √((PQ * PQ) + (QT * QT));
PS = √((PR * PR) + (RS * RS));
(√ is sqrt is square root)

angle to cut away =
360 * (1 – ((2 * π * RS) / (2 * π * PS)))

inner circle diameter = 2 * PT;
outer circle diameter = 2 * PS;

unikatissima Example Cone


And now proceed:
Draw two centered circles with the inner and outer diameter, draw the calculated angle and cut it away.
The result should be a template for a cone with the specified measurements ;-)
If you don’t have a protractor you can print and cut the degrees disk from the entry ‘Constructing a Cone’.

If you want to know more exactly what you’re doing here, check the entry ‘Constructing a Cone’ after all ;-)


Links:
Here at unikatissima: ‘Constructing a Cone’

Monday, April 20, 2009 » 11 comments

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10 comments

  1. Lexica June 5, 2012 @ 20:02

    Thank you for this calculator, and for the other article where you explain the geometry behind it!

  2. Susann June 7, 2012 @ 14:32

    Lexica,

    you’re welcome and I’m always glad if someone likes or even uses my generators ;-)

  3. orly July 11, 2012 @ 17:31

    Appreciate your effort. I’m always looking for examples to show my children why the should study maths.

  4. Susann July 12, 2012 @ 11:06

    orly,

    I love being an example to children ;-))
    But you’re right of course: math can be sooo helpful at times!

  5. Tony July 17, 2012 @ 10:53

    Thank you sooo much for this. I used the above to make a combustion chamber for a pulse jet engine lol. It worked first time and was perfect. Saved me many hours of mucking around :-)Many thanks

  6. Susann July 17, 2012 @ 13:54

    Tony,

    Amazing!
    I’d never thought that you’d need a cone to make a combustion chamber for a pulse jet engine!
    ;-)
    But then, I’m glad that I could help you :))

  7. Phil February 10, 2013 @ 02:04

    Worked it through three times, three different results none of which looked convincing. Used your machine and at last a decent result, and I thought I was good at maths! Thanks.

  8. Susann February 11, 2013 @ 12:55

    Phil,

    How good that it worked for you! :)

    And by the way: I feel that you’re not bad at maths only because you have problems with such a calculation! ;-)

  9. Aaron December 28, 2013 @ 23:11

    Does this factor in any overlap?

  10. Susann December 30, 2013 @ 16:59

    Aaron,

    “Does this factor in any overlap?”
    No, it doesn’t.
    You’ll have to make an overlap on your own.

    Enjoy and good success!

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