Today's calculation of Integral 258
Source: 1983 Osaka City University entrance exam/medical
January 9, 2008
calculusintegrationtrigonometrycalculus computations
Problem Statement
Find the volume of the solid formed by the revolution of the curve x \equal{} a(1 \plus{} \cos \theta )\cos \theta ,\ y \equal{} a(1 \plus{} \cos \theta)\sin \theta\ (a > 0,\ \minus{} \pi < \theta \leq \pi) about the axis.