Volume of Sphere Formula
The volume of a sphere is given by four-thirds multiplied by (pi) multiplied by the radius cubed.
Formula Terms
| Expression | Description |
|---|---|
| The volume of the sphere. | |
| The circle constant (pi), where . | |
| The radius of the sphere. |
To calculate the volume of a sphere, multiply four-thirds by the circle constant (pi) by the radius cubed. For example, to calculate the volume of a sphere with a radius of the formula is:
The volume of the sphere with a radius of is approximately equal to units cubed.
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 area of a circle is given by the geometric constant π (pi) multiplied by the radius of the circle squared (A = πr²).
The surface area of a sphere is given by four times the circle constant π (pi) multiplied by the radius squared.