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 point)
Responses
197.82 square centimeters
197.82 square centimeters
1,356.48 square centimeters
1,356.48 square centimeters
339.12 square centimeters
339.12 square centimeters
452.16 square centimeters
To find the surface area of the cone-shaped spyglass, we need to find the lateral area and the base area.
The formula for the lateral area of a cone is given by: Lateral Area = π * r * l, where r is the radius and l is the slant height.
To find the base area, we can use the formula for the area of a circle: Base Area = π * r^2.
Given the slant height (l) = 18 cm and the radius (r) = 6 cm, we can calculate the surface area as follows:
Lateral Area = π * r * l = 3.14 * 6 * 18 = 339.12 square centimeters
Base Area = π * r^2 = 3.14 * 6^2 = 3.14 * 36 = 113.04 square centimeters
Surface Area = Lateral Area + Base Area = 339.12 + 113.04 = 452.16 square centimeters
Therefore, the correct answer is 452.16 square centimeters.