Volume of a sphere

Definition

The volume of a sphere is the amount of space enclosed within the sphere. It is calculated using the formula $V = \frac{4}{3} \pi r^3$, where $r$ is the radius of the sphere.

5 Must Know Facts For Your Next Test

1. The formula for the volume of a sphere is $V = \frac{4}{3} \pi r^3$.
2. The variable $r$ in the formula represents the radius of the sphere.
3. Volume calculations often involve power functions and polynomial functions, specifically cubic terms.
4. $\pi$ (Pi) is a constant approximately equal to 3.14159.
5. Understanding how to manipulate and solve polynomial equations is crucial for calculating volumes.

Review Questions

• What is the formula for calculating the volume of a sphere?
• If a sphere has a radius of 5 units, what is its volume?
• How does changing the radius affect the volume of a sphere?

Related terms

Polynomial Function: A function that involves only non-negative integer powers of x.

Power Function: A function in which each term is a constant multiplied by x raised to a fixed power.

$\pi$ (Pi): A mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.