Answer
Infinite
Work Step by Step
You can draw infinitely many common tangent planes around two externally tangent spheres so there are infinitely many common tangent planes.
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 437: 44
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