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Find the volume of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10cm.

I'm using this problem to help me solve a similar one with a cylinder inside a cone, now what i'm not sure about is, in the answer book they say, Let the radius of the cylener be r cm, 0 < r< 10. Then the height is 2sqrt(100-r^2)

.... where did they get this height from?

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# Homework Help: Cylinder in a sphere

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