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Cone Volume and Surface Calculator — result sheet
Calculate the slant height, volume, and closed surface area of a right circular cone.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Slant height l = √(r²+h²); volume = πr²h/3; total area = πr(r+l).
The total surface includes the circular base and the lateral sector of a right circular cone.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Base radius — length units; minimum 1.0E-6; maximum 1000000
- Height — length units; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Base radius | 3 |
| Height | 4 |
Slant height = 5; volume ≈ 37.699 cubic units; total area ≈ 75.398 square units.
Assumptions and limits
- The cone is right, circular, and closed at its base.
- Radius and height use the same length unit.
- Material thickness and openings 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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