Surfaces and Solids of Revolution

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Presentation transcript:

Surfaces and Solids of Revolution Module 1 HigherEdServices.org

Session Topics Surfaces and Solids of Revolution Degree of Revolution Hollow Objects Visualizing Revolution

Surfaces and Solids of Revolution Surfaces and Solids of Revolution are formed when a 2-D shape is revolved about an axis Surfaces result if the shape is open Solids result if the shape is closed

Solids of Revolution The resulting 3-D object depends on the axis about which the 2-D shape was revolved

Angle of Revolution Resulting 3-D object also depends on the degree of angular revolution

Hollow Objects If a 2-D shape is located "away from" the axis of revolution, a solid of revolution with a cylindrical hole in it will result

Visualizing Revolutions To visualize a revolution, first think about mirroring the shape about the axis of revolution and then forming a cylindrically- shaped object from the two shapes

Course Software... Work through the surfaces and solids of revolution software module

Surfaces and Solids of Revolution Homework... Complete the following pages in Module 1 rev- 1 - 2 5 - 7 9 - 11 13 - 15