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(6) In this problem we will determine a formula for the volume of a pyramid with height h and a square base with side

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(6) In this problem we will determine a formula for the volume of a pyramid with height h and a square base with side length s. (a) Draw a 2D sketch of the pyramid facade oriented with its base on the x-axis and its apex on the y-axis. (b) Use similar triangles to express the cross-sectional area A(y) of a horizontal slice as a function of y. (c) Integrate A(y) with the appropriate bounds to find the volume.

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