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Spherical Segment Volume Calculator

Enter sphere radius R and cap height h, where 0 < h ≤ 2R.

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Spherical Cap Volume Calculator

Requires 0 < h ≤ 2R. Ideal spherical cap cut by one plane only. Use one length unit.

Cap volume (cubic input units): —

A QUICK WALKTHROUGH

How to use this tool

  1. Enter positive sphere radius.
  2. Enter cap height no greater than the sphere diameter.
  3. Calculate cap volume.

Formula and scope

For a spherical cap of sphere radius R and height h, V=πh²(3R−h)/3, with 0<h≤2R. Result uses cubic input units.

Ideal geometry

Assumes a spherical cap cut by a plane from an ideal sphere. Local calculation only.

GOOD TO KNOW

Common questions

Can cap height exceed the diameter?

No. For one cap on a sphere, h must be no greater than 2R.