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Spherical Cap Volume Calculator (V = πh²(3R−h)/3)

Quick answer

This calculator computes the spherical cap volume (detailed): exact formula V = πh²(3R−h)/3, worked example R = 5 cm, h = 2 cm → V = 54.45 cm³.

  • Free, instant, any units.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the spherical cap volume (detailed) Calculator Works

V = πh²·(3R − h)/3

The calculator applies the exact formula V = πh²·(3R − h)/3. Worked example: R = 5 cm, h = 2 cm → V = 54.45 cm³. Keep every input in one unit system and the result follows in cubic units (m³, ft³, liters); full precision is kept until the final rounding. Radius fields expect radii — halve any diameter before entering it.

  1. 1

    Enter the measurements

    Type the values required by the formula for spherical cap volume (detailed).

  2. 2

    Check the units

    One unit system throughout — cm, m, ft or in.

  3. 3

    Read the result

    The calculator substitutes, evaluates and rounds only at the end.

Use Cases

Sizing tanks, silos and material estimates

Homework, exams and engineering checks

Verifying spreadsheet formulas before ordering materials

Tips

  • 1

    Volume scales with the cube of linear dimensions

  • 2

    Convert results: 1 m³ = 1000 L, 1 ft³ = 7.48 US gal

  • 3

    π ≈ 3.14159 — precision kept to the last step

Common Mistakes

  • Mixing units (cm radius with m height)

  • Entering a diameter where the formula wants a radius

  • Forgetting the solid must be closed — check h > 0

FAQs