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January 23rd, 2017, 06:49 PM   #1
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Question Finding radius and center of sphere

I have the equation X^2+Y^2+Z^2-4Z+3=0. The Problem also gives the point P(1,2,3). Im not sure if i should complete the square, but im confused.
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January 23rd, 2017, 07:36 PM   #2
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Point P(1,2,3) is not on the surface of the sphere, nor is it the sphere's center ... what does the problem specifically ask for?
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January 23rd, 2017, 08:45 PM   #3
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Quote:
Originally Posted by fivestar View Post
I have the equation X^2+Y^2+Z^2-4Z+3=0. The Problem also gives the point P(1,2,3). Im not sure if i should complete the square, but im confused.
$x^2 + y^2 + z^2 - 4z + 3 =0$

$x^2 + y^2 + (z -2)^2 =1$

This is a sphere of radius $1$ centered at $(0,0,2)$

Like Skeeter noted $(1,2,3)$ doesn't seem to have anything to do with this sphere.
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