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Surfaces and Solids of Revolution Surfaces and Solids of Revolution

Surfaces and Solids of Revolution - PowerPoint Presentation

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Uploaded On 2016-03-13

Surfaces and Solids of Revolution - PPT Presentation

Module 1 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 2D shape is revolved about an axis ID: 254664

solids revolution surfaces shape revolution solids shape surfaces module axis result object resulting depends software revolved visualizing objects hollow

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Presentation Transcript

Slide1

Surfaces and Solids of Revolution

Module 1Slide2

Session Topics

Surfaces and Solids of Revolution

Degree of Revolution

Hollow Objects

Visualizing RevolutionSlide3

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 closedSlide4

Solids of Revolution

The resulting 3-D object depends on the axis about which the 2-D shape was revolvedSlide5

Angle of Revolution

Resulting 3-D object also depends on the degree of angular revolutionSlide6

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 resultSlide7

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 shapesSlide8

Course Software...

Work through the surfaces and solids of revolution software moduleSlide9

Surfaces and Solids of Revolution Homework...

Complete the following pages in Module 1

rev-

1 - 2

5 - 7

9 - 11

13 - 15