What is the Cone Volume Calculator?
The cone volume calculator finds how much a cone holds along with its slant height and total surface area.
How to use the Cone Volume tool
- Enter Radius and Height.
- The result updates instantly as you type, or press Calculate.
- Use Try an example to see how it works, and Reset to start again.
Formula
Volume = ⅓ × π × r² × h. Slant height = √(r² + h²). Surface area = π × r × (r + slant height).
Worked example
With radius 3, height 7, the volume comes to 65.9734. Slant height: 7.6158; Surface area: 100.0513.
Frequently asked questions
Why is the cone volume one third of a cylinder?
A cone fits exactly three times into a cylinder with the same base and height.
What is slant height?
It is the distance along the surface from the apex to the edge of the base.
Cone volume examples
Volume = ⅓ × π × r² × h.
| Radius | Height | Volume |
|---|---|---|
| 1 | 2 | 2.09 |
| 2 | 4 | 16.76 |
| 3 | 6 | 56.55 |
| 4 | 8 | 134.04 |
| 5 | 10 | 261.8 |
| 6 | 12 | 452.39 |
| 8 | 10 | 670.21 |
| 10 | 10 | 1,047.2 |
| 12 | 15 | 2,261.95 |
| 15 | 20 | 4,712.39 |
FAQ
What is the cone volume formula? V = ⅓πr²h, one third of the cylinder with the same base and height.
Is the slant height needed? No. Use the vertical height, not the slant.
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Checked by Calcovate · Formula tested against worked examples · Updated 7 Nov 2026 · How we check our calculators.