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ratio of the radius on the bottom to the height of the can

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A soft drink bottler wants to design a can which will hold a definite volume V o. She also wants to use the minimum amount of aluminum possible in order to hold down costs. Assuming the can will be a cylinder, find the ratio of the radius on the bottom to the height of the can which meets the bottler's constraints.

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This solution exemplifies ratio of the radius on the bottom to the height of the can which meets the bottler's constraints.

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