Online Cone Calculator

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’