A spyglass in the shape of a cone has a slant height of 18 cm in a radius of 6 cm. What is the surface area of the spyglass? Use a 3.14 for pi
1. 1356.48 square centimeters.
2. 339.12 square centimeters.
3. 452.16 square centimeters.
4. 197.82 square centimeters.
To find the surface area of the spyglass, we need to calculate the curved surface area of the cone and the base area.
The curved surface area of the cone can be calculated using the formula: π * r * l, where r is the radius and l is the slant height.
Curved surface area = 3.14 * 6 * 18 = 339.12 square centimeters.
The base area of the cone can be calculated using the formula: π * r^2, where r is the radius.
Base area = 3.14 * 6^2 = 113.04 square centimeters.
Adding the curved surface area and the base area, we get the total surface area of the spyglass.
Surface area = Curved surface area + Base area = 339.12 + 113.04 = 452.16 square centimeters.
Therefore, the answer is 3. 452.16 square centimeters.