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Cone Volume and Surface Area — result sheet
Volume and total surface of a right circular cone.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: V = 1/3*pi*r^2*h; slant s = sqrt(r^2+h^2); S = pi*r*(r+s).
A cone holds one third of its enclosing cylinder. Slant height comes from the radius-height right triangle; total surface adds base and lateral areas.
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 37.699; surface 75.398 square units.
Assumptions and limits
- Right circular cone; radius and height positive in one unit.
- Total surface includes the base.
- Full floating-point pi.
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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