Geometry

An ice-cream cone consists of a sphere of vanilla ice cream and a right circular cone that has the same diameter as the sphere. If the ice cream melts, it will exactly fill the cone. Assume that the melted ice-cream occupies 75% of the volume of frozen ice-cream. What is the ratio of the cone’s height to its radius?

1. 2 : 1
2. 4 : 1
3. 16 : 3
4. 3 : 1
5. 6 : 1

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