## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Chapter 10 - Section 10.3 - Simplifying Radical Expressions - Exercise Set - Page 705: 110

#### Answer

The lateral surface area of the conical volcano was 2,022,426,050 feet before it erupted.

#### Work Step by Step

Given the equation $A = \pi r\sqrt {r^{2} + h^{2}}$, and the values $h = 4190$ and $r = 25200$, we can substitute the given numbers for $r$ and $h$, and solve the resulting equation. $$A = \pi (25200)\sqrt {(25200)^{2} + (4190)^{2}}$$ $$A = 2022426050$$

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