SOLUTION: If all the ice melted in the cup, would it overflow? A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. (i

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Question 1130063: If all the ice melted in the cup, would it overflow?
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide.
(i don't know if the snow is a sphere or if it molds to the shape of the cone-shaped paper cup)
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that the cone is filled and a hemisphere "solid" extends from the circular opening.

note that the snowcone material contains some air. It's not all water & sugar & flavoring.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If all the ice melted in the cup, would it overflow?
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide.
(i don't know if the snow is a sphere or if it molds to the shape of the cone-shaped paper cup)
The snow-cone is indeed a sphere, so you need to calculate its volume.

Also calculate the volume of the cone that the snow-cone rests in.

If the volume of the snow-cone is greater than the volume of the cone, then the liquid formed from the snow-cone melting will overflow. Otherwise, no!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
take the meniscus into account, too.