That radius

Geometry Level pending

The diameter of a solid metallic right circular cylinder is equal to its height. after cutting out the largest possible solid sphere S S from this cylinder, the remaining material is recast into another sphere S 1 S_1 . what is the ratio of the radius of sphere S S to S 1 S_1 .

2 : 1 1:8 3 : 1 2 1 / 3 : 1 2^{1/3} : 1

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