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 pl. (1 point)

452 16 square centimeters
1,356 48 square centimeters
339 12 square centimeters
197.82 square centimeters

1 answer

The surface area of a cone is given by the formula:

Surface Area = πr(r + s)

where r is the radius of the base and s is the slant height.

Given that the radius is 6 centimeters and the slant height is 18 centimeters, we can substitute these values into the formula:

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.