Volume of Cone Formula

Volume of Cone

Formula

Summary

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.

Usage

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.

Examples

Example 1

Volume of Cone Example

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

Steps

  1. Set up the formula for the volume of a cone.

  2. Substitute values in for the radius and the height .

  3. Evaluate the exponent expression and combine like terms.

  4. Simplify the fraction.

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

Example 2

Volume of Cone Example

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

Steps

  1. Set up the formula for the volume of a cone.

  2. Substitute values in for the radius and the height .

  3. Evaluate the exponent expression and combine like terms.

  4. Simplify the fraction.

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