how will i calculate the smallest and largest distances between the point(1,1,1) and the sphere

$\displaystyle x^2+y^2+z^2-2y+6z-6=0$ ?

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- Jun 4th 2010, 07:29 AMramiee2010distance between a pt. to sphere
how will i calculate the smallest and largest distances between the point(1,1,1) and the sphere

$\displaystyle x^2+y^2+z^2-2y+6z-6=0$ ? - Jun 4th 2010, 08:07 AMearboth
1. Determine the coordinates of the center C of the sphere and the length of the radius r by completing the squares.

2. Determine the distance $\displaystyle d = |\overline{CP}|$

3. Then the shortest distance of P to the sphere is d - r

and the longest distance of P to the sphere is d + r.