Solid geometry

Cone Volume Calculator

Calculate cone volume and slant height from radius and perpendicular height.

Perpendicular height

The height in the volume formula is the perpendicular distance from the base to the tip, not the sloped side.

Example

For a cone with radius 3 and height 10, volume is pi x 3 x 3 x 10 / 3, or about 94.25 cubic units.

How to use the result

Use volume for capacity or material estimates when the shape is close to a cone. Use slant height and surface area when estimating covering material for the outside.

Common mistakes

Do not use diameter as radius. If the base measures 6 across, the radius is 3. Also keep radius and height in the same unit.

Last reviewed: 2026-05-17

Before relying on this result

Use this calculator together with the formula, assumptions, limitations and examples on the page. If the topic involves health, tax, lending, investment, legal, safety or current-rate decisions, treat the number as an estimate and check the relevant primary source or professional guidance.

Calculator metadata last reviewed: 2026-05-14.