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Spherical Bowl Segment Volume Calculator — result sheet
Estimate the volume of a spherical-cap bowl from sphere radius and cap depth.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Cap volume = πh²(R−h/3).
The spherical-cap relation is used when the bowl depth does not exceed the parent sphere radius.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sphere radius — m; minimum 1.0E-6; maximum 1000000
- Bowl depth — m; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Sphere radius | 1 |
| Bowl depth | 0.2 |
Cap volume ≈0.1173 m³.
Assumptions and limits
- Radius is positive, depth is nonnegative, and depth does not exceed radius.
- The bowl is a spherical cap with negligible wall thickness.
- Rim shape, wall thickness, overflow, usable fill level, and manufacturing tolerances 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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