Volume of Cylinder Formula

This figure illustrates the volume of cylinder formula defined by the length of its radius and height.

Formula

Summary

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

Variable Description
The volume of the cylinder.
The circle constant (tau), where .
The variable represents the radius of the base circle.
The height of the cylinder.
Note: This website uses the constant (tau) instead of (pi) as the default circle constant. The substitution can be used to translate between the two constants. See this page for the traditional cylinder volume formula.

Usage

The volume of a cylinder is given by the circular area of the base multiplied by the height of the cylinder. For example, to calculate the area of a cylinder with and to formula is:

Examples

Example 1

This figure illustrates a cylinder with a radius of 3 and a height of 2.
Figure 1: Cylinder Example
  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 cylinder is equal to cube units or approximately cube units.