Convertools

Sphere Cap Surface Area from Radius and Height

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 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

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 sq units

Representative value from the Sphere Cap Surface Area 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 Surface Area from Radius and Height

Calculate spherical cap surface area 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 Surface Area from Radius and Height Reference
ScenarioCap Surface Area
1 units Sphere Radius; 0 units Cap Height0 sq units
1 units Sphere Radius; 0.1 units Cap Height0.628319 sq units
1 units Sphere Radius; 0.25 units Cap Height1.570796 sq units
1 units Sphere Radius; 0.5 units Cap Height3.141593 sq units
1 units Sphere Radius; 0.75 units Cap Height4.712389 sq units
1 units Sphere Radius; 1 units Cap Height6.283185 sq units
1 units Sphere Radius; 1.25 units Cap Height7.853982 sq units
1 units Sphere Radius; 1.5 units Cap Height9.424778 sq units
1 units Sphere Radius; 1.75 units Cap Height10.995574 sq units
1 units Sphere Radius; 2 units Cap Height12.566371 sq units
2 units Sphere Radius; 0 units Cap Height0 sq units
2 units Sphere Radius; 0.2 units Cap Height2.513274 sq units
2 units Sphere Radius; 0.5 units Cap Height6.283185 sq units
2 units Sphere Radius; 1 units Cap Height12.566371 sq units
2 units Sphere Radius; 1.5 units Cap Height18.849556 sq units
2 units Sphere Radius; 2 units Cap Height25.132741 sq units
2 units Sphere Radius; 2.5 units Cap Height31.415927 sq units
2 units Sphere Radius; 3 units Cap Height37.699112 sq units
2 units Sphere Radius; 3.5 units Cap Height43.982297 sq units
2 units Sphere Radius; 4 units Cap Height50.265482 sq units
5 units Sphere Radius; 0 units Cap Height0 sq units
5 units Sphere Radius; 0.5 units Cap Height15.707963 sq units
5 units Sphere Radius; 1.25 units Cap Height39.269908 sq units
5 units Sphere Radius; 2.5 units Cap Height78.539816 sq units
5 units Sphere Radius; 3.75 units Cap Height117.809725 sq units
5 units Sphere Radius; 5 units Cap Height157.079633 sq units
5 units Sphere Radius; 6.25 units Cap Height196.349541 sq units
5 units Sphere Radius; 7.5 units Cap Height235.619449 sq units
5 units Sphere Radius; 8.75 units Cap Height274.889357 sq units
5 units Sphere Radius; 10 units Cap Height314.159265 sq units
10 units Sphere Radius; 0 units Cap Height0 sq units
10 units Sphere Radius; 1 units Cap Height62.831853 sq units
10 units Sphere Radius; 2.5 units Cap Height157.079633 sq units
10 units Sphere Radius; 5 units Cap Height314.159265 sq units
10 units Sphere Radius; 7.5 units Cap Height471.238898 sq units
10 units Sphere Radius; 10 units Cap Height628.318531 sq units
10 units Sphere Radius; 12.5 units Cap Height785.398163 sq units
10 units Sphere Radius; 15 units Cap Height942.477796 sq units
10 units Sphere Radius; 17.5 units Cap Height1,099.557429 sq units
10 units Sphere Radius; 20 units Cap Height1,256.637061 sq units
20 units Sphere Radius; 0 units Cap Height0 sq units
20 units Sphere Radius; 2 units Cap Height251.327412 sq units
20 units Sphere Radius; 5 units Cap Height628.318531 sq units
20 units Sphere Radius; 10 units Cap Height1,256.637061 sq units
20 units Sphere Radius; 15 units Cap Height1,884.955592 sq units
20 units Sphere Radius; 20 units Cap Height2,513.274123 sq units
20 units Sphere Radius; 25 units Cap Height3,141.592654 sq units
20 units Sphere Radius; 30 units Cap Height3,769.911184 sq units
20 units Sphere Radius; 35 units Cap Height4,398.229715 sq units
20 units Sphere Radius; 40 units Cap Height5,026.548246 sq units
50 units Sphere Radius; 0 units Cap Height0 sq units
50 units Sphere Radius; 5 units Cap Height1,570.796327 sq units
50 units Sphere Radius; 12.5 units Cap Height3,926.990817 sq units
50 units Sphere Radius; 25 units Cap Height7,853.981634 sq units
50 units Sphere Radius; 37.5 units Cap Height11,780.972451 sq units
50 units Sphere Radius; 50 units Cap Height15,707.963268 sq units
50 units Sphere Radius; 62.5 units Cap Height19,634.954085 sq units
50 units Sphere Radius; 75 units Cap Height23,561.944902 sq units
50 units Sphere Radius; 87.5 units Cap Height27,488.935719 sq units
50 units Sphere Radius; 100 units Cap Height31,415.926536 sq units

Frequently Asked Questions

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

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

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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