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Hollow Cylinder Volume — result sheet
Calculate the material volume of a uniform hollow cylinder from outer radius, inner radius, and height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V=pi(R^2-r^2)h, where 0 < r < R; the cavity is removed from the outer-cylinder volume.
A hollow cylinder has an annular circular cross-section. Its material volume is the annular area pi(R^2-r^2) multiplied by the uniform height h.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Outer radius R — length units; The outside radius of the hollow cylinder.; minimum 1.0E-6; maximum 1000000
- Inner radius r — length units; The radius of the cylindrical cavity.; minimum 1.0E-6; maximum 1000000
- Height h — length units; The uniform axial height of the cylinder.; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Outer radius R | 5 |
| Inner radius r | 2 |
| Height h | 10 |
Annular area is pi(25-4)=21pi square units, so material volume is 210pi, approximately 659.734457 cubic units.
Assumptions and limits
- The object is a straight uniform hollow cylinder with circular coaxial inner and outer surfaces.
- Outer radius R, inner radius r, and height h use compatible positive length units and satisfy 0 < r < R.
- The result is material volume only; wall thickness, caps, fillets, mass, density, and manufacturing tolerances are not inferred.
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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