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**1. Homework Statement**

find an equation of a sphere if one of its diameters has endpoints (2,1,4)and

(4,3,10)

**2. Homework Equations**

**3. The Attempt at a Solution**

it should be in the form of (x-h)^2+(y-k)^2+(z-l)^2=r^2

i think i found the radius by:

r= sqrt((4-2)^2+(3-1)^2+(10-4)^2)

r= sqrt(44)/2

r= sqrt(11)

im not sure about the coordinates for the center i think i should just take the difference between the two endpoints of the diameter?

if someone could plz give me some info thank you