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Conical Frustum Volume — result sheet
Calculate the volume of a right circular frustum from its two radii and perpendicular height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V = pi h (R^2 + Rr + r^2) / 3.
A conical frustum is the portion of a cone between two parallel cuts. Its volume depends on both circular radii and the perpendicular distance between their planes.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Larger radius R — units; minimum 1.0E-6; maximum 1000000
- Smaller radius r — units; minimum 1.0E-6; maximum 1000000
- Perpendicular height — units; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Larger radius R | 5 |
| Smaller radius r | 3 |
| Perpendicular height | 4 |
Frustum volume 205.250254 cubic units.
Assumptions and limits
- Both radii and the height are positive lengths in one consistent unit, with R greater than r.
- The solid is a right circular frustum; oblique cuts and wall thickness 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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