Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.6 Force, Work, and Energy, #20 · Calculus · Applications of integrals

For a cone-shaped tank the cross-sectional area increases with depth:

For a cone-shaped tank the cross-sectional area increases with depth: $A = π r^{2} h^{2} / H^{2}$ . Show that the work to empty it is half the work for a cylinder with the same height and base. What is the ratio of volumes of water ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.6 Force, Work, and Energy, #20

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