Question

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

Answer 1

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`.

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I hope that this was helpful.