Answer
$x^2+y^2+z^2 = 25$
Work Step by Step
We can write the general equation of a sphere:
$(x-a)^2+(y-b)^2+(z-c)^2 = r^2$
where $(a,b,c)$ is the center of the sphere and $r$ is the radius
The center of the sphere is $(0,0,0)$
The radius of the sphere is $5$
We can find an equation for the sphere:
$(x-a)^2+(y-b)^2+(z-c)^2 = r^2$
$(x-0)^2+(y-0)^2+(z-0)^2 = (5)^2$
$x^2+y^2+z^2 = 25$