Cone volume calculator
Calculator
The calculator needs JavaScript. The tables below give the same numbers for common cases.
How it is worked out
- Volume = ⅓πr²h; surface = πr(r + slant), slant = √(r² + h²).
- Volume = 94.24778 and surface area = 126.671905.
| Inputs | Answer |
|---|---|
| Radius: 3; Height: 10 | The cone has volume 94.24778 cubic units and surface area 126.671905 square units. |
| Radius: 4; Height: 9 | The cone has volume 150.796447 cubic units and surface area 174.02988 square units. |
| Radius: 1.5; Height: 6 | The cone has volume 14.137167 cubic units and surface area 36.2131 square units. |
How to use it
A cone holds one third of the cylinder with the same base and height: V = ⅓πr²h. The slant height is √(r² + h²), and the total surface area is πr(r + slant height).
The height is the perpendicular distance from the apex to the base, not the slant height.
Frequently asked questions
What is the volume of a cone with radius 3 and height 10?
⅓ × π × 9 × 10 ≈ 94.248.
How is a cone related to a cylinder?
Its volume is exactly one third of the cylinder with the same base and height.
What is the slant height?
√(r² + h²).
Method: standard arithmetic shown step by step; no outside data is used. Checked 2026-11-12.
Written by Calculators Free Editorial Team · Data checked 2026-11-12
About · How we verify this · Editorial policy · Corrections
About · How we verify this · Editorial policy · Corrections
General information only. Results are plain arithmetic on the numbers you enter; check anything important (money, health, school work) against your own records or the official source.