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Spherical Cap Volume Calculator — result sheet
Calculate the volume of a spherical cap from the sphere radius and cap height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V=πh²(R−h/3), for 0<h≤2R.
The cap formula uses the parent sphere radius and the perpendicular cap height, not the cap’s circular base radius alone.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sphere radius R — minimum 1.0E-6; maximum 1000000000000
- Cap height h — minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Sphere radius R | 10 |
| Cap height h | 4 |
Spherical cap volume ≈435.634.
Assumptions and limits
- The cap height is positive and no greater than the sphere diameter.
- The surface is an exact sphere segment.
- Wall thickness and material allowances are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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