Answer
The ratio is 4:1.
Work Step by Step
Lateral area is directly proportional to r and directly proportional to h. Thus, if r and h are both doubled, lateral area is $2\times 2 =4$ times greater. Thus, the ratio is 4:1.
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Chapter 9 - Section 9.3 - Cylinders and Cones - Exercises - Page 432: 37
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