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Math Help - Equation of Largest Sphere

  1. #1
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    Equation of Largest Sphere

    Find an equation of the largest sphere with center (5,4,9) that is contained in the first octant?

    I really have no clue as to how to set this problem up. I do know the equation for a circle is: (x-h)^2+(y-k)^2+(z-l)^2=r^2

    If I substitute these points into the equation I get

    (x-5)^2+(y-4)^2+(z-9)^2=r^2

    This is as far as I can get. I appreciate the help.
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  2. #2
    Senior Member vincisonfire's Avatar
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     4 \geq r Since the sphere center is at (5,4,9) Otherwise it would go to the negative y axis.
     r^2 =16
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  3. #3
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    RE:

    So what would the equation be?

    (x-5)^2+(y-4)^2+(z-9)^2=16

    ???
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  4. #4
    Senior Member vincisonfire's Avatar
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    Yes
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