Lesson: Cartesian Equation of a Sphere in Space

In this lesson, we will learn how to find the equation of a sphere given the center and how to find the center and the radius given the sphere's equation.

Sample Question Videos

01:51

Worksheet: 25 Questions • 1 Video

Q1:

Given , and that is a diameter of the sphere , what is the point ?

Q2:

Find the equation of the sphere concentric with , but with twice the radius.

Q3:

A sphere is tangent to the -plane, and has its centre on the -axis at a distance of 35 length units from the -plane. What is the equation of the sphere?

Preview Download