Answer
Center: $(1,\dfrac{-1}{2},-3)$ and radius: $5$
Work Step by Step
We know that the standard equation of a sphere is written as:
$(x-x_0)^2+(y-y_0)^2+(z-z_0)^2=r^2$ ...(1)
Here, $(x_0,y_0,z_0)$ represents the center and $r$ is the radius of the sphere.
Since, we have $(x -1)^2+(y+\dfrac{1}{2})^2+(z +3)^2=25$
or, $(x -1)^2+(y-(-\dfrac{1}{2}))^2+(z -(-3))^2=5^2$
Compare the above equation with equation (1):
Center: $(1,\dfrac{-1}{2},-3)$ and radius: $5$
