Question: Let B be the solid whose base is the unit circle x 2 + y 2 = 1 and whose vertical cross sections perpendicular to

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