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Cone Calculator
Enter radius and height — volume and surface area update instantly.
Formula
V = πr²h/3 | l = √(r²+h²) | Lateral = πrl | Total = πr(l+r)
Example
r = 25 mm, h = 60 mm → V = 39 270 mm³, slant l = 65 mm, lateral = 5105 mm².
FAQ
How is cone volume derived?
It is exactly one third of the cylinder with the same base and height — shown by Cavalieri's principle or integration.
What is the slant height for?
l is the true length of the cone side — needed for sheet-metal flat-pattern (development) layout of reducers and hoppers.