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A cone is constructed by cutting a sector from a circular sheet of metal with radius 25. The cut sheet is then folded up

 

A cone is constructed by cutting a sector from a circular sheet of metal with radius 25. The cut sheet is then folded up and welded. Find the radius and height of the cone with maximum volume that can be formed in this way. The radius is r= and the height is h= (Type exact answers, using radicals as needed.). 25 25

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