Question

How do you find an equation of the sphere with center (1, −9, 3) and radius 5?

Answer 1

See explanation.

Explanation:

The standard equation of a sphere with radius `r` and center in `S=(a,b,c)` is:

`(x-a)^2+(y-b)^2+(z-c)^2=r^2`

So in the given example it turns to:

`(x-1)^2+(y+9)^2+(z-3)^2=25`