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Geometry

Cone Volume Calculator

A cone occupies one third of a cylinder with the same base and height.

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Rounded to up to 2 decimal places.

Measurement units

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SI prefixes and selected international / customary units. Coverage: SI and selected current customary units. Historical units are excluded.

See what you’re calculating

hbase radius r
Volume = π × radius² × height / 3

A cone occupies one third of a cylinder with the same base and height.

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THE IDEA, SIMPLY

How it works

A cone occupies one third of a cylinder with the same base and height.

FORMULA

Volume = π × radius² × height / 3

A worked example

Radius 3 m and height 5 m give 15π ≈ 47.1239 m³.

Formula & detailed explanation

Circular cone; radius and perpendicular height nonnegative. Height is not slant height.

Calculations use decimal arithmetic with 40 significant digits internally. Choose 0–8 decimal places for the displayed result. Trailing zeros are omitted. Rounding affects only the displayed and copied result; very small values may round to zero. Accepted inputs have up to 100 characters and magnitudes from 10⁻¹⁰⁰ to 10¹⁰⁰, plus zero.