Answer
Center $(1,\dfrac{-1}{2},-3)$ and radius is $5$
Work Step by Step
As we know the standard equation of sphere is $(x-a)^2+(y-b)^2+(z-c)^2=r^2$ )
where $(a,b,c)$ represents center and radius of the sphere is $r$
Now,
$(x -1)^2+(y+\dfrac{1}{2})^2+(z +3)^2=25$
$ \implies (x -1)^2+(y-(-\dfrac{1}{2}))^2+(z -(-3))^2=5^2$
Compare this equation with the standard equation of sphere.
Thus, Center $(1,\dfrac{-1}{2},-3)$ and radius is $5$
