# Volume of Cone Formula

The volume of a cone is given by one-third multiplied by the area of its base multiplied by its height. The area of the base is given by the formula for the area of a circle.

Variable | Description |
---|---|

The volume of the cone. | |

The circle constant (tau) = 6.283185307 | |

The variable represents the radius of the base circle. | |

The height of the cone. |

The volume of a cone is given by one third the area of its base multiplied by its height. In the case of the cone, the base is equal to the area of a circle.

This example demonstrates how to find the volume of a cone using this formula.

Set up the formula for the volume of a cone.

Substitute values in for the radius and the height .

Evaluate the exponent expression and combine like terms.

Simplify the fraction.

The volume of the cone is equal to cube units or approximatelly cube units.

This example demonstrates how to find the volume of a cone using this formula.

Set up the formula for the volume of a cone.

Substitute values in for the radius and the height .

Evaluate the exponent expression and combine like terms.

Simplify the fraction.

The volume of the cone is equal to cube units or approximately cube units.