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An Approach in Computing the Volume of Solids of Revolution Generated Along an Oblique Axis
by
Maria Ailynn A. Diansuy
Department of Mathematics and Statistics, College of Arts and Sciences,University of the East, Manila, Philippines
A solid of revolution is formed when a given region R in the x y plane is revolved about a line L which does not intersect it ( although L could be part of the boundary of R). In general, an axis of rotation could be the vertical line x =a or the horizontal line y = b. The discussion on oblique line y = m x + b as an axis of rotation is not being tackled in a traditional calculus class. This paper presents an approach in computing volumes of solids of revolution generated along an oblique axis: Transformation of Coordinate Axes. To confirm the result of the volume obtained through transformation, Pappus Theorem was used.
Date received: March 1, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauj-32.