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Spherical Cap Volume Calculator

Compute the volume of a spherical cap: V = (πh²/3)(3r − h).

Input Data

Radius of the original sphere.
Height of the cap (h ≤ 2r).

Results

54.4543
Spherical cap volume = 54.4543.

At a glance:Spherical cap volume V = (πh²/3)(3r − h), r is the sphere radius and h the cap height.

Formula

V = (πh²/3)(3r − h).

How to Use

  1. Enter sphere radius r and cap height h.
  2. The tool returns cap volume V.

Case Studies

r=5, h=2 → 54.45

V = (π·4/3)(15−2) ≈ 54.45.

FAQ

h=2r?

That is the full sphere, V = (4/3)πr³.

Versus sphere volume?

This is a portion of the sphere.

Related Tools

References

Content reviewed by the Calculatorism editorial team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

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