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)

Answer 1

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

SA = πr(r + s)

Where:
- SA is the surface area
- r is the radius of the base
- s is the slant height

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

SA = π(6)(6 + 18)
SA = π(6)(24)
SA = π(144)
SA ≈ 452.16 cm²

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