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Cone Volume Calculator — result sheet
Calculate the volume and base area of a right circular cone from its radius and vertical height.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V = πr²h/3; base area = πr².
A cone occupies one third of the volume of a cylinder with the same base and height. The calculator keeps the base area visible so the capacity result is easy to audit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Base radius — units; minimum 1.0E-6; maximum 1000000000
- Vertical height — units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Base radius | 3 |
| Vertical height | 4 |
Volume: about 37.70 cubic units; base area: about 28.27 square units.
Assumptions and limits
- The cone is right circular and filled to its geometric height.
- The result is geometric volume in cubic units; material thickness, voids, and usable fill limits are excluded.
- Use the same unit for radius and height and convert the cubic result separately if needed.
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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