Find the standard equation of the sphere with center C and radius r.
C (3,-5,3); r = 7

Name: Find the standard equation of the sphere with center C and radius r. C (3,-5,3); r = 7
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Question

Find the standard equation of the sphere with center C and radius r. 
C (3,-5,3); r = 7

Quizplus · Accepted Answer

The standard equation of a sphere with center $C(h, k, l)$ and radius $r$ is $(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2$. For center $C(3, -5, 3)$ and radius $r = 7$, the equation becomes $(x - 3)^2 + (y + 5)^2 + (z - 3)^2 = 7^2$, which simplifies to $(x - 3)^2 + (y + 5)^2 + (z - 3)^2 = 49$.

Find the Standard Equation of the Sphere with Center C