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Lesson: Equation of a Sphere Mathematics

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

Lesson Plan

Students will be able to

find the equation of a sphere given its center and radius or sufficient information to calculate the center and radius (e.g., the coordinates of the endpoints of the diameter),
find the center and radius of a sphere given its equation.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

Give the equation of the sphere of center and radius 3 in standard form.

Q2:

Which of the following is the equation of the sphere of center and passing through ?

Q3:

Find the equation of the sphere with and as endpoints of a diameter.