Ice Cream Scoop

The scoop is not a perfect circle and would probably sink into the the cone. If the ice cream were to miraculously levitate in the cone, then it would overflow. But ice cream doesn't work like that. Unless you ate part of the cone, the ice cream would melt within the cone and collect in the bottom.

Only if the ice cream didn't extend outwards from the mouth of the cone to begin with. If the scoop was already larger than the rim of the cone, than its drippings would fall on a now-sticky hand.