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An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the cone. If the ice cream melts into the cone, will it overflow? Yes or No.
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An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the cone. If the ice cream melts into the cone, will it overflow? Yes or No.

User Phong Vu
by
8.5k points

2 Answers

5 votes

Answer:

No, It will not melt No it will not.

Explanation:

User Pradeep Deshmukh
by
7.9k points
4 votes
volume of sphere is 4/3*pi*r^3 and volume of cone is 1/3*pi*r^2*h if the volume of sphere > volume of cone then it will overflow.
the volume of the ice cream is: 4.189 cubic inches
The volume of the cone: 6.545 cubic inches.
The ice cream will not overflow the cone.
User JGH
by
7.3k points
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