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Donut and Annulus Geometry Calculator — result sheet
Calculate annulus area and cylindrical donut volume from outer radius, inner radius, and height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Annulus area = π(R²−r²); extruded volume = annulus area × height.
The model treats a donut as a circular ring extruded through a uniform height, not as a torus with a circular tube.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Outer radius — length units; minimum 1.0E-6; maximum 1000000
- Inner radius — length units; minimum 0; maximum 1000000
- Extrusion height — length units; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Outer radius | 5 |
| Inner radius | 2 |
| Extrusion height | 1 |
Area = 21π ≈ 65.973; volume ≈ 65.973 cubic units.
Assumptions and limits
- Outer radius is greater than inner radius and all lengths use one unit.
- The ring has uniform straight-sided extrusion height.
- Curved torus geometry, wall thickness variation, and material 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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