Question 914762: an ice cream cone contains one spherical scoop of ice cream,the diameter of the scoop of ice cream is the same as the diameter of the cone. If the ice cream melts, will the cone overflow? Justify your answer.
4cm spherical scoop of ice cream
diameter of cone- 7cm
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! I would guess that for physical reasons, some overflow will happen. Restricting this to just mathematics, you would compare the cone volume to the sphere volume. If the sphere volume is greater than cone volume, then overflow; else, no overflow. The problem is, you need to also be given the height of the cone.
r, radius of sphere and of "base" of the cone.
h, height of the cone.
Both those are variable and possibly unknown.
Capacity of Cone: 
Ball of Ice Cream: 
You can get an example answer if you would examine a real ice cream cone shell, and take the measurements.
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