Science Bowl Question

📅 MIT Science Bowl Invitational 2020🎓 HS🔄 Round 7#️⃣ Question 23 TOSS UP✍️ Short Answer

A spherical ice cream scoop of radius r is put in an ice cream cone of radius r. In terms of r, what is the smallest height the cone can be to make sure the ice cream, even if fully melted, does not overflow? You may assume the density of the ice cream is the same in solid and liquid states.

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