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Summary
We give two formulas for finding the volumes of solids of revolution in hyperbolic geometry. We also prove each formula. These formulas and their proofs are analogous to the ones in Euclidean geometry. We also provide several examples of their use. These formulas may be useful in college geometry courses that include a section on hyperbolic geometry.
Additional information
Notes on contributors
Robert L. Lamphere
Robert L. Lamphere ([email protected]) received his Masters in mathematics from University of Illinois and his Masters in computer science from Northern Illinois University. He is an emeritus professor at the Elizabethtown Community and Technical College. His research interests are Non-Euclidean geometry and Newton’s Principia.