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A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 4ft and a radius of 7ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be $18,858.84. How much will the metal cost per square foot? Use 3.14 for π, and do not round your answer.

Question

A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 4ft and a radius of 7ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be $18,858.84. How much will the metal cost per square foot? Use 3.14 for π, and do not round your answer.

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Solution

To find the cost of the metal per square foot, we first need to calculate the total

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