Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 9 - Section 9.4 - Polyhedrons and Spheres - Exercises - Page 427: 47

Answer

Recall, a torus is the figure that results after closed shape is rotated around a line in the same plane as the original shape. (Note, the line is not allowed to intersect the original shape.)

Work Step by Step

In order to draw a torus, imagine two circles of different radii centered on the given line, where each circle is perpendicular to the line given. Then, draw the given circle within the shape numerous times, making the always perpendicular to the two other circles you draw. Note, this circle will become the width of the new shape.
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