Cone Volume Calculator

Work out cone volume instantly with clear inputs, formula shown and shareable results.

About Cone Volume Calculator

A cone holds exactly one third of the cylinder that encloses it, so V = ⅓πr²h. The slant height is √(r² + h²) by Pythagoras on the radius and axis.

Formulas

Volume

V = ⅓πr²h

Slant height

l = √(r² + h²)

Worked example

With the default values below, Cone Volume Calculator returns Volume of 150.7964. Change any input above and every figure here is recalculated in your browser.

Inputs used

Base radiusminimum 0: 4
Perpendicular heightminimum 0: 9

Results

Volume: 150.7964
Base area: 50.2655
Slant height: 9.8489
Enclosing cylinder volume: 452.3893

Step by step

1Values used
2Volume
3Slant height
4Volume= 150.7964
5Base area= 50.2655
6Slant height= 9.8489
7Enclosing cylinder volume= 452.3893

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Radius 4, height 9?

⅓ × π × 16 × 9 = 48π ≈ 150.796447 cubic units.

Must the height be perpendicular?

Yes. For an oblique cone the volume formula still uses the perpendicular height, not the slant length.