Question

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

Answer 1

Answer:

  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