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. $$A = \pi (25200)\sqrt {(25200)^{2} + (4190)^{2}}$$
$$A = 2022426050$$