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:
$h = \sqrt2R = 6\sqrt2 = 8.5$
$r = h/2 = 8.5/2 = 4.25$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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
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