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The surface area of a cone can be found using the formula A = πr^2 + πrℓ, where r is the radius and ℓ is the slant height.
Plugging in the values given, we have A = 3.14(6^2) + 3.14(6)(18).
Simplifying, we get A = 3.14(36) + 3.14(108).
A = 113.04 + 339.12.
A = 452.16.
Therefore, the surface area of the spyglass is 452.16 square centimeters.
The correct answer is 4. 452.16 square centimeters.