geometry calculator

Spherical Cap Volume Calculator

Spherical Cap Volume Calculator for coordinate geometry, angles, and diagram-based problems when you want a fixed formula answer without improvising the math by hand.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Estimate Results

Enter values to see the result.

Formula

volume = (pi x h^2 x (3R - h)) / 3

Use the cap height h and sphere radius R to measure the truncated spherical portion.

The cap height should not exceed the sphere diameter.

Example

3 units, 8 units gives Volume 197. 92.

Check

Mixing units, scales, or coordinate conventions across cap height, sphere radius before calculating volume.
Rounding too early when the result still feeds another geometry or algebra step.

Next Step