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Math Help - find the equation of the sphere

  1. #1
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    find the equation of the sphere

    Find an equation of the sphere one of whose diameters has (1, 3, -5) and
    (3, -1, 3) as its endpoints.


    any help with these please.
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  2. #2
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    Quote Originally Posted by rcmango View Post
    Find an equation of the sphere one of whose diameters has (1, 3, -5) and
    (3, -1, 3) as its endpoints.


    any help with these please.
    Find the midpoint.
    Which is the arithmetic mean of each one:
    (2,1,1)

    Now find the measurement of the great circle.
    sqrt(4+16+64)=sqrt(80)

    Thus,
    (x-2)^2+(y-1)^2+(z-1)^2=80
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