SOLUTION: A sphere of ice cream with a radius of 3 inches is placed in the open end of a cone with a radius of 3 inches and a height of 13 inches. If the ice cream is allowed to melt, what i

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Question 621655: A sphere of ice cream with a radius of 3 inches is placed in the open end of a cone with a radius of 3 inches and a height of 13 inches. If the ice cream is allowed to melt, what is the difference between the volume of the cone and the volume of the ice cream? Will the cone overflow?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A sphere of ice cream with a radius of 3 inches is placed in the open end of a cone with a radius of 3 inches and a height of 13 inches. If the ice cream is allowed to melt, what is the difference between the volume of the cone and the volume of the ice cream? Will the cone overflow?
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The volume of the sphere is 4%2Api%2Ar%5E3%2F3+=+36pi cubic inches
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The volume of the cone is pi%2Ar%5E2%2Ah%2F3+=+39pi
Difference = 3pi
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The cone's volume is bigger.
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You ever seen a 13" tall ice cream cone?
6" diameter is a LOT of ice cream, tho, would need a big cone.