Volume of a Cone Calculator

Use this calculator to easily calculate the volume of a cone from its base radius and height in any metric: mm, cm, meters, km, inches, feet, yards, miles...

Calculation results

Cone volume 47.123890 cm3
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Volume of a cone formula

The formula for the volume of a cone is (height x π x (diameter / 2)2) / 3, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is (height x π x radius2) / 3, as seen in the figure below:

volume cone

Despite the relative complexity of the body, you only need two measurements to calculate a cone's volume: its height and the diameter of its base, or equivalently - its radius. π is the unitless mathematical constant equal to ~3.149159.

How to calculate the volume of a cone?

First, take the measurement of the diameter (widest measurement you can take of the base), then measure or estimate the height. If you already have plans or schematics, just get the lenghts from there. Convert the lenght units to the same base, e.g. inches or centimeters, then follow the formula above or use our online volume of a cone calculator. The output is always in cubic units, e.g. cubic inches, cubic feet, cubic yards, cubic mm, cubic cm, cubic meters, and so on.

The cone is not as popular as some other bodies in construction and engineering, but it has its uses. One of the first examples you can think of are traffic cones, which might be filled with water or other material to keep them in place, especially in windy locations.

Cite this calculator & page

If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation:
Georgiev G.Z., "Volume of a Cone Calculator", [online] Available at: https://www.gigacalculator.com/calculators/volume-of-cone-calculator.php URL [Accessed Date: 30 May, 2020].