MathDB

891

Part of 2013 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 891

Source: 2013 Osaka University entrance exam/Medicine etc.

10/2/2013
Given a triangle OABOAB with the vetices O(0, 0, 0), A(1, 0, 0), B(1, 1, 0)O(0,\ 0,\ 0),\ A(1,\ 0,\ 0),\ B(1,\ 1,\ 0) in the xyzxyz space. Let VV be the cone obtained by rotating the triangle around the xx-axis. Find the volume of the solid obtained by rotating the cone VV around the yy-axis.
calculusintegrationgeometry3D geometryconicshyperbolarotation