Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 9 - Section 9.4 - Polyhedrons and Spheres - Exercises - Page 436: 27

Answer

h = 8.5 r = 4.25

Work Step by Step

We first find the height and radius of the cylinder. The height is part of a 45-45-90 triangle with the radius of the sphere, so: $h = \sqrt2R = 6\sqrt2 = 8.5$ $r = h/2 = 8.5/2 = 4.25$
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