Sphere Cap Surface Area from Radius and Height Reference Values

Calculate spherical cap surface area from sphere radius and cap height.

Author

Dr. Nadia Petrov

Math editorial contributor

Serbian biomedical engineer trained at Imperial College London, developing low-cost prosthetics for conflict zones

Reviewed for accuracy by

Prof. Hans Muller

Math content reviewer

German renewable energy engineer at TU Munich, pioneering grid-scale hydrogen storage solutions

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

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Reference Table

Sphere Cap Surface Area from Radius and Height reference values
Scenario	Cap Surface Area
1 units Sphere Radius; 0 units Cap Height	0 sq units
1 units Sphere Radius; 0.1 units Cap Height	0.628319 sq units
1 units Sphere Radius; 0.25 units Cap Height	1.570796 sq units
1 units Sphere Radius; 0.5 units Cap Height	3.141593 sq units
1 units Sphere Radius; 0.75 units Cap Height	4.712389 sq units
1 units Sphere Radius; 1 units Cap Height	6.283185 sq units
1 units Sphere Radius; 1.25 units Cap Height	7.853982 sq units
1 units Sphere Radius; 1.5 units Cap Height	9.424778 sq units
1 units Sphere Radius; 1.75 units Cap Height	10.995574 sq units
1 units Sphere Radius; 2 units Cap Height	12.566371 sq units
2 units Sphere Radius; 0 units Cap Height	0 sq units
2 units Sphere Radius; 0.2 units Cap Height	2.513274 sq units
2 units Sphere Radius; 0.5 units Cap Height	6.283185 sq units
2 units Sphere Radius; 1 units Cap Height	12.566371 sq units
2 units Sphere Radius; 1.5 units Cap Height	18.849556 sq units
2 units Sphere Radius; 2 units Cap Height	25.132741 sq units
2 units Sphere Radius; 2.5 units Cap Height	31.415927 sq units
2 units Sphere Radius; 3 units Cap Height	37.699112 sq units
2 units Sphere Radius; 3.5 units Cap Height	43.982297 sq units
2 units Sphere Radius; 4 units Cap Height	50.265482 sq units
5 units Sphere Radius; 0 units Cap Height	0 sq units
5 units Sphere Radius; 0.5 units Cap Height	15.707963 sq units
5 units Sphere Radius; 1.25 units Cap Height	39.269908 sq units
5 units Sphere Radius; 2.5 units Cap Height	78.539816 sq units
5 units Sphere Radius; 3.75 units Cap Height	117.809725 sq units
5 units Sphere Radius; 5 units Cap Height	157.079633 sq units
5 units Sphere Radius; 6.25 units Cap Height	196.349541 sq units
5 units Sphere Radius; 7.5 units Cap Height	235.619449 sq units
5 units Sphere Radius; 8.75 units Cap Height	274.889357 sq units
5 units Sphere Radius; 10 units Cap Height	314.159265 sq units
10 units Sphere Radius; 0 units Cap Height	0 sq units
10 units Sphere Radius; 1 units Cap Height	62.831853 sq units
10 units Sphere Radius; 2.5 units Cap Height	157.079633 sq units
10 units Sphere Radius; 5 units Cap Height	314.159265 sq units
10 units Sphere Radius; 7.5 units Cap Height	471.238898 sq units
10 units Sphere Radius; 10 units Cap Height	628.318531 sq units
10 units Sphere Radius; 12.5 units Cap Height	785.398163 sq units
10 units Sphere Radius; 15 units Cap Height	942.477796 sq units
10 units Sphere Radius; 17.5 units Cap Height	1,099.557429 sq units
10 units Sphere Radius; 20 units Cap Height	1,256.637061 sq units
20 units Sphere Radius; 0 units Cap Height	0 sq units
20 units Sphere Radius; 2 units Cap Height	251.327412 sq units
20 units Sphere Radius; 5 units Cap Height	628.318531 sq units
20 units Sphere Radius; 10 units Cap Height	1,256.637061 sq units
20 units Sphere Radius; 15 units Cap Height	1,884.955592 sq units
20 units Sphere Radius; 20 units Cap Height	2,513.274123 sq units
20 units Sphere Radius; 25 units Cap Height	3,141.592654 sq units
20 units Sphere Radius; 30 units Cap Height	3,769.911184 sq units
20 units Sphere Radius; 35 units Cap Height	4,398.229715 sq units
20 units Sphere Radius; 40 units Cap Height	5,026.548246 sq units
50 units Sphere Radius; 0 units Cap Height	0 sq units
50 units Sphere Radius; 5 units Cap Height	1,570.796327 sq units
50 units Sphere Radius; 12.5 units Cap Height	3,926.990817 sq units
50 units Sphere Radius; 25 units Cap Height	7,853.981634 sq units
50 units Sphere Radius; 37.5 units Cap Height	11,780.972451 sq units
50 units Sphere Radius; 50 units Cap Height	15,707.963268 sq units
50 units Sphere Radius; 62.5 units Cap Height	19,634.954085 sq units
50 units Sphere Radius; 75 units Cap Height	23,561.944902 sq units
50 units Sphere Radius; 87.5 units Cap Height	27,488.935719 sq units
50 units Sphere Radius; 100 units Cap Height	31,415.926536 sq units

Frequently Asked Questions

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

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

It helps with estimating curved surface area of spherical caps in tank and dome geometry.

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

Spherical cap surface area = 2πRh.

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 curved surface area of spherical caps in tank and dome geometry

Methodology and Review

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