SOLUTION: The owner of an ice cream shop is trying to set a price for a small size cone. The cone itself is 3½ inches tall and has a diameter of 2 inches, topped by a sphere with a diameter

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Question 1122166: The owner of an ice cream shop is trying to set a price for a small size cone. The cone itself is 3½ inches tall and has a diameter of 2 inches, topped by a sphere with a diameter of 3 inches. A 3-gallon tub of ice cream is a cylinder that is 11 inches tall and has a diameter of 10 inches, and costs $28. If the cost of the ice cream should be 30% of the price, how much should he charge for the small size cone?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The problem is not described adequately.

Does the ice cream fill the full cone AND the full 3-inch sphere?

If so, then the 3-inch sphere sits on top of the full cone and touches the cone in a single point; that's not a very secure arrangement.

Re-post with a more precise description of the problem.