Problem H-11

Due is DSC 203 by 12 Noon, Friday April 05, 2002

Proposed by Valentin Matache

The cube ABCDA'B'C'D' has side-length 1. ABCD and A'B'C'D' are parallel faces. The circular cylinder whose bases are the discs inscribed in the squares ABCD and A'B'C'D' is denoted K₁. The faces ABA'B' and CDC'D' are also parallel. Denote by K₂ the cylinder whose bases are the discs inscribed in ABA'B' and CDC'D'. The solid $S=K_1\cup K_2$ is the union of the two cylinders. (Each cylinder is a subset of the Euclidean space and hence one can consider their union). Find the volume of S.

Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Fri Mar 22 13:19:11 CST 2002