Convertools

Sphere Cap Volume from Radius and Height

Calculate spherical cap volume from sphere radius and cap height.

Author

Prof. Sunita Rao

Math editorial contributor

Indian-American chemical engineer at Stanford, developing biodegradable alternatives to single-use plastics

Reviewed by

Dr. Samuel Okafor

Math content reviewer

Nigerian-Canadian data scientist with a PhD from the University of Toronto, building ML models for early cancer detection

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

10 units Sphere Radius; 0 units Cap Height =

0 cubic units

Representative value from the Sphere Cap Volume from Radius and Height reference table.

Reference Values

Browse 60 reference values with individual detail pages for quick lookup.

Browse all reference values

Sphere Cap Volume from Radius and Height

Calculate spherical cap volume from sphere radius and cap height.

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Sphere Cap Volume from Radius and Height Reference
ScenarioCap Volume
1 units Sphere Radius; 0 units Cap Height0 cubic units
1 units Sphere Radius; 0.1 units Cap Height0.030369 cubic units
1 units Sphere Radius; 0.25 units Cap Height0.179987 cubic units
1 units Sphere Radius; 0.5 units Cap Height0.654498 cubic units
1 units Sphere Radius; 0.75 units Cap Height1.325359 cubic units
1 units Sphere Radius; 1 units Cap Height2.094395 cubic units
1 units Sphere Radius; 1.25 units Cap Height2.863431 cubic units
1 units Sphere Radius; 1.5 units Cap Height3.534292 cubic units
1 units Sphere Radius; 1.75 units Cap Height4.008803 cubic units
1 units Sphere Radius; 2 units Cap Height4.18879 cubic units
2 units Sphere Radius; 0 units Cap Height0 cubic units
2 units Sphere Radius; 0.2 units Cap Height0.24295 cubic units
2 units Sphere Radius; 0.5 units Cap Height1.439897 cubic units
2 units Sphere Radius; 1 units Cap Height5.235988 cubic units
2 units Sphere Radius; 1.5 units Cap Height10.602875 cubic units
2 units Sphere Radius; 2 units Cap Height16.755161 cubic units
2 units Sphere Radius; 2.5 units Cap Height22.907446 cubic units
2 units Sphere Radius; 3 units Cap Height28.274334 cubic units
2 units Sphere Radius; 3.5 units Cap Height32.070425 cubic units
2 units Sphere Radius; 4 units Cap Height33.510322 cubic units
5 units Sphere Radius; 0 units Cap Height0 cubic units
5 units Sphere Radius; 0.5 units Cap Height3.796091 cubic units
5 units Sphere Radius; 1.25 units Cap Height22.498385 cubic units
5 units Sphere Radius; 2.5 units Cap Height81.812309 cubic units
5 units Sphere Radius; 3.75 units Cap Height165.669925 cubic units
5 units Sphere Radius; 5 units Cap Height261.799388 cubic units
5 units Sphere Radius; 6.25 units Cap Height357.928851 cubic units
5 units Sphere Radius; 7.5 units Cap Height441.786467 cubic units
5 units Sphere Radius; 8.75 units Cap Height501.100391 cubic units
5 units Sphere Radius; 10 units Cap Height523.598776 cubic units
10 units Sphere Radius; 0 units Cap Height0 cubic units
10 units Sphere Radius; 1 units Cap Height30.368729 cubic units
10 units Sphere Radius; 2.5 units Cap Height179.987079 cubic units
10 units Sphere Radius; 5 units Cap Height654.498469 cubic units
10 units Sphere Radius; 7.5 units Cap Height1,325.359401 cubic units
10 units Sphere Radius; 10 units Cap Height2,094.395102 cubic units
10 units Sphere Radius; 12.5 units Cap Height2,863.430804 cubic units
10 units Sphere Radius; 15 units Cap Height3,534.291735 cubic units
10 units Sphere Radius; 17.5 units Cap Height4,008.803126 cubic units
10 units Sphere Radius; 20 units Cap Height4,188.790205 cubic units
20 units Sphere Radius; 0 units Cap Height0 cubic units
20 units Sphere Radius; 2 units Cap Height242.949832 cubic units
20 units Sphere Radius; 5 units Cap Height1,439.896633 cubic units
20 units Sphere Radius; 10 units Cap Height5,235.987756 cubic units
20 units Sphere Radius; 15 units Cap Height10,602.875206 cubic units
20 units Sphere Radius; 20 units Cap Height16,755.160819 cubic units
20 units Sphere Radius; 25 units Cap Height22,907.446432 cubic units
20 units Sphere Radius; 30 units Cap Height28,274.333882 cubic units
20 units Sphere Radius; 35 units Cap Height32,070.425005 cubic units
20 units Sphere Radius; 40 units Cap Height33,510.321638 cubic units
50 units Sphere Radius; 0 units Cap Height0 cubic units
50 units Sphere Radius; 5 units Cap Height3,796.091123 cubic units
50 units Sphere Radius; 12.5 units Cap Height22,498.384889 cubic units
50 units Sphere Radius; 25 units Cap Height81,812.308687 cubic units
50 units Sphere Radius; 37.5 units Cap Height165,669.925092 cubic units
50 units Sphere Radius; 50 units Cap Height261,799.387799 cubic units
50 units Sphere Radius; 62.5 units Cap Height357,928.850507 cubic units
50 units Sphere Radius; 75 units Cap Height441,786.466911 cubic units
50 units Sphere Radius; 87.5 units Cap Height501,100.390709 cubic units
50 units Sphere Radius; 100 units Cap Height523,598.775598 cubic units

Frequently Asked Questions

Common questions about Sphere Cap Volume from Radius and Height, formulas, and typical use cases.

What does the Sphere Cap Volume from Radius and Height calculator do?

It helps with estimating partial sphere volume in tanks, domes, and level calculations.

What formula does the Sphere Cap Volume from Radius and Height calculator use?

Spherical cap volume = πh²(3R - h)/3.

What inputs are valid?

Sphere radius must be non-negative and cap height must be between 0 and 2R.

When would I use this?

estimating partial sphere volume in tanks, domes, and level calculations

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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