Sphere Cap Volume from Radius and Height Reference Values

Calculate spherical cap volume from sphere radius and cap height.

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

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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

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This page lists 60 reference values for quick browsing and lookup.

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Reference Table

Sphere Cap Volume from Radius and Height reference values
Scenario	Cap Volume
1 units Sphere Radius; 0 units Cap Height	0 cubic units
1 units Sphere Radius; 0.1 units Cap Height	0.030369 cubic units
1 units Sphere Radius; 0.25 units Cap Height	0.179987 cubic units
1 units Sphere Radius; 0.5 units Cap Height	0.654498 cubic units
1 units Sphere Radius; 0.75 units Cap Height	1.325359 cubic units
1 units Sphere Radius; 1 units Cap Height	2.094395 cubic units
1 units Sphere Radius; 1.25 units Cap Height	2.863431 cubic units
1 units Sphere Radius; 1.5 units Cap Height	3.534292 cubic units
1 units Sphere Radius; 1.75 units Cap Height	4.008803 cubic units
1 units Sphere Radius; 2 units Cap Height	4.18879 cubic units
2 units Sphere Radius; 0 units Cap Height	0 cubic units
2 units Sphere Radius; 0.2 units Cap Height	0.24295 cubic units
2 units Sphere Radius; 0.5 units Cap Height	1.439897 cubic units
2 units Sphere Radius; 1 units Cap Height	5.235988 cubic units
2 units Sphere Radius; 1.5 units Cap Height	10.602875 cubic units
2 units Sphere Radius; 2 units Cap Height	16.755161 cubic units
2 units Sphere Radius; 2.5 units Cap Height	22.907446 cubic units
2 units Sphere Radius; 3 units Cap Height	28.274334 cubic units
2 units Sphere Radius; 3.5 units Cap Height	32.070425 cubic units
2 units Sphere Radius; 4 units Cap Height	33.510322 cubic units
5 units Sphere Radius; 0 units Cap Height	0 cubic units
5 units Sphere Radius; 0.5 units Cap Height	3.796091 cubic units
5 units Sphere Radius; 1.25 units Cap Height	22.498385 cubic units
5 units Sphere Radius; 2.5 units Cap Height	81.812309 cubic units
5 units Sphere Radius; 3.75 units Cap Height	165.669925 cubic units
5 units Sphere Radius; 5 units Cap Height	261.799388 cubic units
5 units Sphere Radius; 6.25 units Cap Height	357.928851 cubic units
5 units Sphere Radius; 7.5 units Cap Height	441.786467 cubic units
5 units Sphere Radius; 8.75 units Cap Height	501.100391 cubic units
5 units Sphere Radius; 10 units Cap Height	523.598776 cubic units
10 units Sphere Radius; 0 units Cap Height	0 cubic units
10 units Sphere Radius; 1 units Cap Height	30.368729 cubic units
10 units Sphere Radius; 2.5 units Cap Height	179.987079 cubic units
10 units Sphere Radius; 5 units Cap Height	654.498469 cubic units
10 units Sphere Radius; 7.5 units Cap Height	1,325.359401 cubic units
10 units Sphere Radius; 10 units Cap Height	2,094.395102 cubic units
10 units Sphere Radius; 12.5 units Cap Height	2,863.430804 cubic units
10 units Sphere Radius; 15 units Cap Height	3,534.291735 cubic units
10 units Sphere Radius; 17.5 units Cap Height	4,008.803126 cubic units
10 units Sphere Radius; 20 units Cap Height	4,188.790205 cubic units
20 units Sphere Radius; 0 units Cap Height	0 cubic units
20 units Sphere Radius; 2 units Cap Height	242.949832 cubic units
20 units Sphere Radius; 5 units Cap Height	1,439.896633 cubic units
20 units Sphere Radius; 10 units Cap Height	5,235.987756 cubic units
20 units Sphere Radius; 15 units Cap Height	10,602.875206 cubic units
20 units Sphere Radius; 20 units Cap Height	16,755.160819 cubic units
20 units Sphere Radius; 25 units Cap Height	22,907.446432 cubic units
20 units Sphere Radius; 30 units Cap Height	28,274.333882 cubic units
20 units Sphere Radius; 35 units Cap Height	32,070.425005 cubic units
20 units Sphere Radius; 40 units Cap Height	33,510.321638 cubic units
50 units Sphere Radius; 0 units Cap Height	0 cubic units
50 units Sphere Radius; 5 units Cap Height	3,796.091123 cubic units
50 units Sphere Radius; 12.5 units Cap Height	22,498.384889 cubic units
50 units Sphere Radius; 25 units Cap Height	81,812.308687 cubic units
50 units Sphere Radius; 37.5 units Cap Height	165,669.925092 cubic units
50 units Sphere Radius; 50 units Cap Height	261,799.387799 cubic units
50 units Sphere Radius; 62.5 units Cap Height	357,928.850507 cubic units
50 units Sphere Radius; 75 units Cap Height	441,786.466911 cubic units
50 units Sphere Radius; 87.5 units Cap Height	501,100.390709 cubic units
50 units Sphere Radius; 100 units Cap Height	523,598.775598 cubic units

Frequently Asked Questions

Frequently asked questions for Sphere Cap Volume from Radius and Height and its reference values.

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

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