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.

Question

a. 1,356.48 square centimeters
b. 452.16 square centimeters
c. 339.12 square centimeters
d. 197.82 square centimeters

Answer 1

The surface area of a cone can be found using the formula:

Surface Area = πr^2 + πrl

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

Given that the radius (r) of the spyglass is 6 centimeters and the slant height (l) is 18 centimeters, we can substitute these values into the formula:

Surface Area = 3.14 * (6^2) + 3.14 * 6 * 18
Surface Area = 3.14 * 36 + 3.14 * 108
Surface Area = 113.04 + 339.12
Surface Area = 452.16

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

The correct answer is b. 452.16 square centimeters.