Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.5 Masses and Moments, #28 · Calculus · Applications of integrals

A second theorem of Pappus gives … as the surface area when…

A second theorem of Pappus gives $A = 2 π \overset{y}{ˉ} L$ as the surface area when a wire of length $L$ is rotated around the $x$ axis. Verify his formula for a horizontal wire along $y = 3$ ( $x$ 0 to $x = L$ ) and a vertical wire ( $y = 1$ to $y = L + 1$ ).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.5 Masses and Moments, #28

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