A spyglass in the shade of a cone has a slant height if 18 centimeters and a radius of 6 centimeters what is the surface are of the spyglass use 3.14 for pi

To find the surface area of the spyglass, we need to find the curved surface area of the cone and add the base area.

The curved surface area of a cone is given by the formula:
CSA = 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 calculate the curved surface area:
CSA = 3.14 * 6 * 18
CSA = 339.12 square centimeters (rounded to two decimal places)

The base area of a cone is given by the formula:
Base Area = πr^2

Given that the radius (r) of the spyglass is 6 centimeters, we can calculate the base area:
Base Area = 3.14 * 6^2
Base Area = 113.04 square centimeters

To find the total surface area, we add the curved surface area to the base area:
Total Surface Area = CSA + Base Area
Total Surface Area = 339.12 + 113.04
Total Surface Area = 452.16 square centimeters (rounded to two decimal places)

The surface area of the spyglass is 452.16 square centimeters.