Written by the Fiveable Content Team • Last updated September 2025
Verified for the 2026 exam
Verified for the 2026 exam•Written by the Fiveable Content Team • Last updated September 2025
Definition
The volume of a sphere, denoted as V(r), is the amount of space enclosed by the sphere. It can be calculated using the formula V(r) = (4/3)πr^3.
Related terms
First derivative: The first derivative of a function represents its rate of change at any given point. In this case, it refers to finding how fast the volume of the sphere changes with respect to changes in its radius.
Volume function: A mathematical equation or formula that calculates the volume of an object based on one or more variables.
The distance from the center of a sphere to any point on its surface. In this case, it is used as a variable in the volume function to determine the size of the sphere's radius and subsequently its volume.