Solids of Revolution Formed by Rotating Functions

Stephen F Austin State University, Baker Pattillo Student Center, Twilight and Grand Ballrooms

During Calculus students learn how to find the volume of regions formed by rotating a function about a vertical or horizontal line. This technique is useful in finding the volume of regular/symmetric three dimensional regions, but fails for regions which do not possess these qualities. This project is a generalization of this idea in order to find the volume of a solid generated by revolving one function about another. This should lead to being able to find or approximate the volume of regions which are not symmetric/regular.