Let B be the solid whose base is the unit circle x2 + y2 = 1 and whose vertical cross

Chapter 6, Problem 8

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Let B be the solid whose base is the unit circle x2 + y2 = 1 and whose vertical cross sections perpendicular to the x-axis are equilateral triangles. Show that the vertical cross sections have area A(x) = 3(1 x2) and compute the volume of B.

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