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
NO

  No

Step-by-step explanation:

The volume of the sphere is given by ...

  V = (4/3)πr³ = (4r)·(1/3)πr²

The volume of the cone is given by ...

  V = (1/3)πr²h = h·(1/3)πr²

So, the cone will overflow if ...

  4r > h . . . . cone would overflow

In this problem, r = 1 inch and h = 5 inches, so ...

  4(1 in) < 5 in . . . . the cone will NOT overflow

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step-by-step explanation:

answer by yourhope:

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