How do I find the equation of the sphere of radius 7 centered at $(-6, 5, -3)$ ?

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Answer 1 · 2014-10-28T15:41:32

Since the equation of a sphere with radius $r$ centered at $(x_0,y_0,y_0)$ can be written as

$(x-x_0)^2+(y-y_0)^2+(z-z_0)^2=r^2$ ,

the posted sphere has the equation

$(x+6)^2+(y-5)^2+(x+3)^2=7^2$ .

I hope that this was helpful.

How do I find the equation of the sphere of radius 7 centered at (-6, 5, -3)(-6, 5, -3)?