Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set - Page 434: 128

Answer

$$SA = 2,022,426,050 \ ft^2$$

Work Step by Step

The equation for the surface area of a cone is: $$ SA=\pi r\times (\sqrt{h^2+r^2})$$ Plugging in the known values for radius and height, we find: $$ SA=\pi (25,200\ ft)\times (\sqrt{4190^2+25200^2})$$ Simplifying: $$ SA=25546 \times 79128 \ ft^2 \\ SA = 2,022,426,050 \ ft^2$$
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