Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.3 Area of a Surface of Revolution, #12 · Calculus · Applications of integrals

A band with slant height … and radii … and … is…

A band with slant height $Δ s = s - s^{'}$ and radii $R$ and $R^{'}$ is laid out flat. Explain in one line why its surface area is $π R s - π R^{'} s^{'}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.3 Area of a Surface of Revolution, #12

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