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

1,356.48 square centimeters
1,356.48 square centimeters

452.16 square centimeters
452.16 square centimeters

197.82 square centimeters
197.82 square centimeters

339.12 square centimeters
339.12 square centimeters

1 answer

To find the surface area of a cone, we use the formula:

Surface Area = π * r * (r + l)

where r is the radius and l is the slant height.

In this case, the radius is 6 centimeters and the slant height is 18 centimeters.

Surface Area = 3.14 * 6 * (6 + 18)
Surface Area = 3.14 * 6 * 24
Surface Area = 452.16 square centimeters

Therefore, the surface area of the spyglass is 452.16 square centimeters.