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.
Q1:
Does the given equation 2𝑥+2𝑦+2𝑧+4𝑥+4𝑦+4𝑧−44=0 describe a sphere? If so, find its radius and center.
Q2:
Determine if the given equation 𝑥+𝑦+𝑧+2𝑥−2𝑦−8𝑧+19=0 describes a sphere. If so, find its radius and center.
Q3:
Determine if the given equation 𝑥+𝑦+𝑧−4𝑥−6𝑦−10𝑧+37=0 describes a sphere. If so, find its radius and center.
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