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Today's calculation of Integral 597

Source:

April 27, 2010
calculusintegrationcalculus computations

Problem Statement

In space given a board shaped the equilateral triangle PQRPQR with vertices P(1, 12, 0), Q(1,−12, 0), R(14, 0, 34)P\left(1,\ \frac 12,\ 0\right),\ Q\left(1,-\frac 12,\ 0\right),\ R\left(\frac 14,\ 0,\ \frac{\sqrt{3}}{4}\right). When SS is revolved about the zz-axis, find the volume of the solid generated by the whole points through which SS passes.
1984 Tokyo University entrance exam/Science
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