frankiesierra
contestada

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

Respuesta :

sqdancefan

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

Otras preguntas