Answer
The equation of the sphere with center at $a,b,c$ and radius $r$ can be written as: $(x-a)^2 +(y-b)^2+(z-c)^2=r^2$
Work Step by Step
The equation of the sphere with center at $a,b,c$ and radius $r$ can be written as: $(x-a)^2 +(y-b)^2+(z-c)^2=r^2$
Let us consider an example: The equation of the sphere with center at the origin and with radius $8$ can be written as:
$(x-0)^2 +(y-0)^2+(z-0)^2=(8)^2$
$x^2+y^2+z^2=64$