Spherical Sector Volume Calculator (V = ⅔πR²h)
This calculator computes the spherical sector volume: exact formula V = ⅔πR²h, worked example R = 5 cm, cap height h = 2 cm → V = 104.72 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 sector volume Calculator Works
The calculator applies the exact formula V = ⅔·π·R²·h. Worked example: R = 5 cm, cap height h = 2 cm → V = 104.72 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
Enter the measurements
Type the values required by the formula for spherical sector volume.
- 2
Check the units
One unit system throughout — cm, m, ft or in.
- 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
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