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September 13th, 2012, 09:12 PM  #1 
Newbie Joined: Sep 2012 Posts: 10 Thanks: 0  Finding the equation of a sphere from a diameter
Hi I am having trouble with the following question Find the equation of a sphere if one of its diameters has endpoints: (9, 2,  and (1, 6, 0). What I am thinking is that I am supposed to find the diameter using these two vectors and then divide it in half to get the radius i ended up getting the square root of 57 and then use that radius in the sphere equation to try and solve for the Center i tried plugging in one of the points like so (9h)^2 + (2l)^2 + (8k)^2 = the square root of 57 squared (so i guess 57) but now im stuck Any help would be great thanks 
September 13th, 2012, 09:22 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Finding the equation of a sphere from a diameter
From the given endpoints of the diameter, we find square of the radius r is: \)^2\)=48" /> The center of the sphere will be the midpoint of the diameter: Hence, the equation of the sphere is: 
September 13th, 2012, 09:31 PM  #3 
Newbie Joined: Sep 2012 Posts: 10 Thanks: 0  Re: Finding the equation of a sphere from a diameter
Thanks a lot


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