Calculus: Introduction to Solids of Revolution

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This lesson and 3D models are designed specifically for calculus students, showcasing methods of using shells and washers to find the volume of Solids of Revolution. The models can seamlessly integrate into a pre-existing lesson plan, enhancing student understanding. I printed these models using my TAZ 5, with supports (and a dremel) applied for those featuring large overhangs and no supports otherwise, yielding excellent results. Lesson Objectives: Provide calculus students with a meaningful model and explanation that demonstrates how area and volume can be approximated by summing parts (thin cross sections of a solid or thin slices of an area), where the thickness dx approaches zero, ultimately illustrating the application of integration to find the volume of a solid. Enable calculus students to visualize methods for using washers or shells to calculate the volume of areas swept out about an axis – Solids of Revolution. This lesson plan does not include assessments to evaluate student understanding of the topic or their use of the models, as it is solely intended as an introduction to the subject and a tool to aid visualization.