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Conical Frustum Surface Area Calculator — result sheet
Calculate the lateral and total surface area of a right circular conical frustum from its radii and slant height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Lateral area=π(R+r)l; total area=π(R+r)l+πR²+πr².
A conical frustum has a curved lateral band plus two circular ends. The entered slant height sets the true length across the lateral surface, while the two radii set the end areas.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Larger radius R — length units; minimum 1.0E-6; maximum 1000000000
- Smaller radius r — length units; minimum 1.0E-6; maximum 1000000000
- Slant height l — length units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Larger radius R | 5 |
| Smaller radius r | 3 |
| Slant height l | 4 |
Lateral area=32π≈100.531; total area=66π≈207.345 square units.
Assumptions and limits
- The solid is a right circular frustum with R greater than r.
- The slant height is positive and uses the same unit as both radii.
- The tool does not infer vertical height, volume, wall thickness, or manufacturing allowances.
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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