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25-05-2023
Mathematics

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The curved surface of a funnel is generated by revolving the graph of f(x) = x^3 + 1/12x on the interval [1,2] about the x-axis. Approximately what volume of paint is needed to cover the outside of the funnel with a layer of paint 0.05 cm. thick? Assume that x and y are measured in centimeters.

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