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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.

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