Spherical Cap Volume Table: Cap volume by Sphere radius (R)
Reference table of cap volume for Spherical Cap Volume across a range of sphere radius (r) values — exact, engine-computed figures you can read off at a glance.
Spherical Cap Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Cap volume
54.4543
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Spherical Cap Volume Calculator
The Spherical Cap Volume Calculator works out your cap volume in an instant. Enter sphere radius (r) and cap height (h) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the sphere radius (r).
- Enter the cap height (h).
- Read off your cap volume — the calculator updates automatically, with no button to press.
Formula
The Spherical Cap Volume Calculator uses the formula:
Cap volume = 3.141592653589793 × Cap height (h) ^ 2 × (3 × Sphere radius (R) - Cap height (h)) ÷ 3
Worked example
For example, with sphere radius (r) of 5 units and cap height (h) of 2 units, the cap volume is 54.4543.
| Sphere radius (R) | 5 units |
|---|---|
| Cap height (h) | 2 units |
| Cap volume | 54.4543 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Radius
- The distance from the centre of a circle or sphere to its edge.
- Volume
- The amount of three-dimensional space an object occupies, measured in cubic units.
Frequently asked questions
Use V = πh²(3R − h) ÷ 3, where R is the sphere radius and h the cap height. For R = 5 and h = 2 the volume is about 54.45 cubic units.
It is the portion of a sphere cut off by a flat plane — like the top of a dome or the liquid in a rounded bowl.
The cap becomes a hemisphere, and the volume is two-thirds of πR³.
It models domes, tank ends, lenses and the volume of liquid in spherical or rounded containers.
The Spherical Cap Volume Calculator uses the formula: Cap volume = 3.141592653589793 × Cap height (h) ^ 2 × (3 × Sphere radius (R) - Cap height (h)) ÷ 3. For example, with sphere radius (r) of 5 units and cap height (h) of 2 units, the cap volume is 54.4543.
Enter the sphere radius (r). Enter the cap height (h). Read off your cap volume — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Spherical Cap Volume: Formula, Steps & Examples
Learn how to calculate Spherical Cap Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.