Surfaces and Solids of Revolution
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
Delve into the world of Surfaces and Solids of Revolution where 2-D shapes are transformed into 3-D objects through angular revolution. Explore the concepts of Degree of Revolution, Hollow Objects, and Visualizing Revolutions. Understand how the resulting objects vary based on the axis and angular revolution degree. Engage with hands-on tasks and homework to enhance your learning experience. Dive into an interactive course software module to practice and strengthen your understanding of this fascinating mathematical concept.
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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
