notes001 (77)

notes001 (77) - The radius of this sphere is Solution We...

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January 26, 2011 NAME____________________________ You must show all of your work in order to get credit. (Just writing an answer is not su¢ cient.) Find the center and radius of the sphere which has equation x 2 + y 2 + z 2 + 4 y + 2 z = 1 . Answer: The center of this sphere is the point ___________.
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Unformatted text preview: The radius of this sphere is ________. Solution: We see that the given equation can be written as x 2 + y 2 + 4 y + 4 + z 2 + 2 z + 1 = & 1 + 4 + 1 or as ( x & 0) 2 + ( y + 2) 2 + ( z + 1) 2 = 2 2 . Thus the center of the sphere is (0 ; & 2 ; & 1) and the radius is 2 . 1...
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