MathDB
Today's calculation of Integral 772

Source: 2012 Aichi Medical University entrance exam

January 25, 2012
calculusintegrationanalytic geometrygeometrygeometric transformationrotation3D geometry

Problem Statement

Given are three points A(2, 0, 2), B(1, 1, 0), C(0, 0, 3)A(2,\ 0,\ 2),\ B(1,\ 1,\ 0),\ C(0,\ 0,\ 3) in the coordinate space. Find the volume of the solid of a triangle ABCABC generated by a rotation about zz-axis.
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