In this article, we consider Pappus's centroid theorem as an alternative approach to standard calculus techniques for calculating the surface area and volume of surfaces and solids of revolution. We state the theorem and give a brief proof. We then present a series of examples where the theorem can be used. In addition, we study various applications and problems where the theorem provides a quicker and more concise solution than other conventional methods. Finally, we briefly mention possible generalisations in more dimensions and by relaxing some of the assumptions of the theorem.
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