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.
The surface area of a cone can be found using the formula:
Surface Area = base area + lateral area
The base area of a cone is found using the formula:
Base Area = π * radius^2
Given that the radius is 6 centimeters, the base area is:
Base Area = 3.14 * 6^2 = 3.14 * 36 = 113.04 square centimeters
The lateral area of a cone can be found using the formula:
Lateral Area = π * radius * slant height
Given that the radius is 6 centimeters and the slant height is 18 centimeters, the lateral area is:
Lateral Area = 3.14 * 6 * 18 = 339.12 square centimeters
Therefore, the surface area of the spyglass is:
Surface Area = Base Area + Lateral Area = 113.04 + 339.12 = 452.16 square centimeters.
So the surface area of the spyglass is 452.16 square centimeters.