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THE FEUTEX TOOLKIT

Spherical Cap Profile

Measure a sphere cap’s volume, curved surface and base radius from cap height.

Geometry workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaVolume = PI*h**2*(r-h/3); Curved Area = 2*PI*r*h; Base Radius = sqrt(2*r*h-h**2)
Sources and model references

Worked example

Inputs

Sphere radius
5 length
Cap height
2 length

Expected results

Volume
54.45427266 length³
Curved Area
62.83185307 length²
Base Radius
4 length

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "r": 5,
  "h": 2
}

Accuracy and scope

Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.