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Math & AlgebraGenerated accuracy model review: 2026-05-06
Volume Calculator accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- Different shapes use specific formulas based on their dimensions: * **Cylinder:** $\pi \times r^2 \times h$ (Area of base × Height) * **Sphere:** $\frac{4}{3} \times \pi \times r^3$ * **Cone:** $\frac{1}{3} \times \pi \times r^2 \times h$ * **Cube:** $side^3$ * **Rectangular Prism:** $Length \times Width \times Height$
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Shape: Cylinder
- Radius (r): 5
- Height (h): 10
- Width (w): 5
- Length (l/side): 5
Expected outputs
- Volume: 785.4
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- All dimensions are entered in the same linear unit, and the result is returned in cubic units.
- Dimensions are treated as non-negative geometric lengths.
- This calculator returns geometric volume only and does not convert capacity into weight without a separate density value.
Unit handling
- Shape accepts one of the configured options.
- Radius (r) accepts numeric values.
- Height (h) accepts numeric values.
- Width (w) accepts numeric values.
- Length (l/side) accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current volume-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Volume Calculator.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.