Explanation Draw the free body diagram of the storage tank as in Figure 1. Using Figure (1), Express the surface area of the entire body using the theorem of Pappus and Guldinus. A = θ × ∑ r ¯ L (I) Here, the surface area of revolution is A , angle of revolution measured in radians is θ , perpendicular distance from the axis of revolution to the centroid of the generating curve is r ¯ , and length of the generating curve is L . Since the angle of revolution is measured in radians, θ = 2 π Substitute 2 π for θ in Equation (I). A = 2 π × ∑ r ¯ L (II) Conclusion: Refer to Figure (1) and use spreadsheet to calculate the value of L , r ¯ , and r ¯ L for four segments as shown in Table (1)

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ISBN: 9780132915540

Author: Russell C. Hibbeler

Publisher: Prentice Hall

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Chapter 9.3, Problem 90P

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The outside surface area of the storage tank ( A ) .

Solution Summary: The author explains how to determine the outside surface area of the storage tank using the theorem of Pappus and Guldinus.

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