A spyglass in the shape of a cone has a slant height of 18 centimeters and a radius of 6 centimeters. What is the surface area of the spyglass? Use 3.14 for pi.
1. 1,356.48 square centimeters
2. 339.12 square centimeters
3. 197.82 square centimeters
4. 452.16 square centimeters
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.