document.write( "Question 193146: given: the distance formula n 3d. a sphere with radiu r has the center (a,b,c).\r
\n" ); document.write( "\n" ); document.write( "prove: the equation of a sphere in rectangular coordinates (x,y,z) with radius r and cente (a,b,c) is (x-a) squared plus (y-b) squared plus (z-c) squared equals r squared
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Algebra.Com's Answer #144997 by Earlsdon(6294) $\"\"$ $\"About$

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The locus of points that are equi-distant from a given point (a, b, c) in 3-dimensional space (a sphere) is given by:
\n" ); document.write( " $\"d+=+sqrt%28%28x-a%29%5E2%2B%28y-b%29%5E2%2B%28z-c%29%5E2%29\"$ Square both sides.
\n" ); document.write( " $\"d%5E2+=+%28x-a%29%5E2%2B%28y-b%29%5E2%2B%28z-c%29%5E2\"$ but the distance is called the radius, r, so...
\n" ); document.write( " $\"highlight%28r%5E2+=+%28x-a%29%5E2%2B%28y-b%29%5E2%2B%28z-c%29%5E2%29\"$
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