Skip to content / Đến nội dung
ThichHocToan.com

2003 AMC 12B Question 13

AMC12 · 2003 AMC 12B

Question 13

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 the frozen ice cream. What is the ratio of the cone’s height to its radius?
  1. $2 : 1$
  2. $3 : 1$
  3. $4 : 1$
  4. $16 : 3$
  5. $6 : 1$