Posted by Brad Paul on October 21, 2002 at 20:00:04:
In Reply to: I knew there'd be a typo, use this post. posted by T.Gracken on October 21, 2002 at 18:04:50:
: : : : IF the cylinder of largest possible volume is inscribed in a given sphere, ratio of the volume of the sphere to that of the cylinder is?
: : : : I know the answere is 3^(1/2):1
I think an easer way is to write the radius of the cone rc as:
where rs is the radius of the sphere.
Then the volume of the cone is
Then do the standard
Dh(Vc)=0 and solve for h. Then plug in to your
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