# Volume of Sphere Formula

The volume of a sphere is given by two-thirds multiplied by the circle constant (tau) multiplied by the radius cubed.

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

The volume of the sphere. | |

The radius of the sphere, where the radius is measured from the center of the sphere to any point on its surface. | |

The circle constant (tau), where the value of is approximately . |

The volume of a sphere is equal to 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 the formula is:

Raise to the power which is equal to .

Simplify the expression.

The volume of the sphere with a radius of is equal to units cubed. To calculate an approximate value for the sphere, substitute into the expression and multiply.

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

Set up the volume for a sphere formula.

Substitute the radius into the equation.

Evaluate the exponent expression.

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

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

Set up the volume for a sphere formula.

Substitute the radius into the equation.

Evaluate the exponent expression and combine like terms

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

The circle constant τ (tau) is a geometric constant approximately equal to 6.283. The numeric value is defined as the length of any circle's circumference divided by the length of its radius.