Conical Frustum Calculator
Solve a right circular conical frustum from radii or diameters and height, slant height, volume, or lateral area.
Use lateral area for a lampshade or open shell, lateral area plus one base for buckets and planters, and total area for a closed solid.
Full conical frustum solver
This page covers the broader English intent behind frustum calculator and truncated cone calculator. It accepts radii or diameters, then solves for volume, slant height, lateral area, total area, and material-oriented area combinations.
| Known values | Solved values |
|---|---|
| Radii and height | Volume, slant height, areas, angles, and axial section. |
| Radii and slant height | Height and all dependent outputs. |
| Radii and volume | Height and the full geometry. |
| Radii and lateral area | Slant height, height, and volume. |
Material area decisions
Open containers, planters, funnels, and lampshades rarely need the same area. The calculator shows lateral area, total area, lateral plus bottom base, and lateral plus top base so the result can match the real task.
R and r are base radii, and s is slant height.
Total area includes both circular bases.
Frequently Asked Questions
Sources and References
- Conical Frustum Volume CalculatorCalculatorLib
- Conical Frustum Volume CalculatorAgentCalc
- Surface Area and Volume of a Conical FrustumHad2Know
- FrustumWolfram MathWorld
Calculations are based on the listed reference sources. Links open in a new tab.
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