Title | Solids of Revolution with Minimum Surface Area |

Author | Skip THOMPSON |

Volume | 4 |

Number | 1 |

We consider the problem of determining the minimum surface area of solids obtained when the graph of a differentiable function is revolved about horizontal lines. We describe two solutions for this problem, one that is cumbersome but instructive, and one that is both elegant and amusing. Maple implementations of the solutions are discussed and several potential difficulties are identified.