Cone Frustum Volume Table: Volume by Bottom radius (R)
Reference table of volume for Cone Frustum Volume across a range of bottom radius (r) values — exact, engine-computed figures you can read off at a glance.
Cone Frustum Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Volume
513.1268
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Cone Frustum Volume Calculator
The Cone Frustum Volume Calculator works out your volume in an instant. Enter bottom radius (r), top radius (r) and height 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 bottom radius (r).
- Enter the top radius (r).
- Enter the height.
- Read off your volume — the calculator updates automatically, with no button to press.
Formula
The Cone Frustum Volume Calculator uses the formula:
Volume = 1 ÷ 3 × 3.141592653589793 × Height × (Bottom radius (R) ^ 2 + Bottom radius (R) × Top radius (r) + Top radius (r) ^ 2)
Worked example
For example, with bottom radius (r) of 5 units, top radius (r) of 3 units and height of 10 units, the volume is 513.1268.
| Bottom radius (R) | 5 units |
|---|---|
| Top radius (r) | 3 units |
| Height | 10 units |
| Volume | 513.1268 |
|---|
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 = ⅓ × π × h × (R² + Rr + r²). With R = 5, r = 3 and height 10, the volume is about 513.13 cubic units.
It is a cone with the top cut off parallel to the base, leaving two circular faces of different sizes — like a bucket or lampshade.
The frustum becomes a full cone and the formula reduces to ⅓πr²h.
They model buckets, drinking cups, lampshades, silos and many tapered containers.
The Cone Frustum Volume Calculator uses the formula: Volume = 1 ÷ 3 × 3.141592653589793 × Height × (Bottom radius (R) ^ 2 + Bottom radius (R) × Top radius (r) + Top radius (r) ^ 2). For example, with bottom radius (r) of 5 units, top radius (r) of 3 units and height of 10 units, the volume is 513.1268.
Enter the bottom radius (r). Enter the top radius (r). Enter the height. Read off your volume — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Cone Frustum Volume: Formula, Steps & Examples
Learn how to calculate Cone Frustum Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.