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Spherical Cap Calculator

Geometry

Volume, cap area, dome heads

Quick Answer

Spherical Cap Calculator: Volume, cap area, dome heads. Spherical Cap Calculator uses standard geometry formulas to compute accurate results instantly.

Enter any one value, the rest auto-solve
Diagram (updates live with input)
h = 4.00R = 10.00

Step-by-step

a = √(2Rh − h²) = √(80.0000 − 16.0000) = 8.0000

V = πh²(3R − h)/3 = π × 4.0000² × 26.0000 / 3 = 435.6342

球冠面积 Ac = 2πRh = 2π × 10.0000 × 4.0000 = 251.3274（不含底面圆）

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How to Use

  1. Enter known values: fill sides, radius or angles in the Spherical Cap Calculator.
  2. Auto-solve the rest: all unknowns are solved instantly — no manual derivation.
  3. See formula and steps: the result panel shows the formula used and the substitution.
  4. Try another case: change any known value to solve again.

Key Points

  • Spherical Cap Calculator is a free online geometry tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: Volume, cap area, dome heads.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Spherical Cap Calculator formula

Spherical Cap Calculator uses standard geometry formulas to compute accurate results instantly.

FAQ

How do I use the Spherical Cap Calculator?
Open the page and fill in the input fields — results update automatically. Volume, cap area, dome heads.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on standard Euclidean geometry formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Spherical Cap Calculator[EB/OL]. https://www.yijiansuan.com/en/c/geometry/spherical-cap

Results provided by this tool are for reference only and do not constitute professional advice.