# How do I find the equation of a sphere that passes through the origin and whose center is #(4, 1, 2)#?

##### 1 Answer

Oct 28, 2015

The equation is:

#### Explanation:

The general equation of a sphere with a center

In this case center is given

To calculate the radius we use the second point given - the origin. So the radius is the distance between point

Now when we have all required data we can write the equation of the sphere: