Other correct solutions were submitted by Kenny Albright, Mundia Mubyana,
Deborah Hinkley,Ray Kremer. Correct solutions came from Philippe
Fondanaiche, Jens Voss, Francesc Suñol, Yves Thiry.
There were several possible ways of arriving at the volume, but all
involved placing a three dimensional coordinate system on the figure in
some way and using integration. Brian Bergdall placed the coordinates as
on the left. The amount of wood cut out of one of the slices is the
same as the volume of the solid which lies under the plane z = y and over
the semicircle of radius one in the upper half plane. The volume is
therefore
You are visitor number 3952
to this page.
Page last updated 1 December 2000.