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A company is designing an aquarium in the shape of a vertical cylinder for a client....

A company is designing an aquarium in the shape of a vertical cylinder for a client. It will have a round base made of slate, the curved sides are made of plexiglass, and the round top is glass. The tank must hold 24 cubic feet (about 180 gallons) of water. Plexiglass costs $8 per square foot, slate costs $6 per square foot, and glass costs $4 per square foot. Find the dimensions (rounded to 2 decimal places) the company should use for the aquarium to minimize the cost of the materials. What is the cost of the aquarium?

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