Surface Area of Cones Quick Check

Question

3 of 53 of 5 Items

Question
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

452.16 square centimeters
452.16 square centimeters

1,356.48 square centimeters
1,356.48 square centimeters

197.82 square centimeters
197.82 square centimeters

339.12 square centimeters

Answer 1

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

Surface Area = πr(r + l)

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

Plugging in the values given in the question:

Surface Area = 3.14(6)(6 + 18)
Surface Area = 3.14(6)(24)
Surface Area = 3.14(144)
Surface Area = 452.16 square centimeters

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

Correct Response: 452.16 square centimeters