Volume of Sphere Formula

Volume of Sphere

Formula

Summary

The volume of a sphere is given by two-thirds multiplied by the circle constant (tau) multiplied by the radius cubed, where . The value of is approximately . The radius is measured from the center of the sphere to any point on its surface.

Variable Description
The volume of the sphere.
The variable represents the radius of the sphere.
The circle constant (tau)

Usage

The volume of a sphere is given by two-thirds multiplied by the circle constant (tau) multiplied by the radius cubed. For example, to calculate the volume of a sphere with a radius of 4 the formula is:

Examples

Example 1

Volume of Sphere Example

This example demonstrates how to calculate the volume of a sphere with a radius equal to .

Steps

  1. Set up the volume for a sphere formula.

  2. Substitute the radius into the equation.

  3. Evaluate the exponent expression.

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

Example 2

Volume of Sphere radius 2 Example

This example demonstrates how to calculate the volume of a sphere with a radius equal to .

Steps

  1. Set up the volume for a sphere formula.

  2. Substitute the radius into the equation.

  3. Evaluate the exponent expression and combine like terms

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

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