To find the surface area of the cone-shaped spyglass, we need to find the area of the curved surface and the area of the base.
The curved surface area (CSA) of a cone can be calculated using the formula: CSA = π * r * l, where r is the radius of the base and l is the slant height.
Plugging in the given values, we have: CSA = 3.14 * 6cm * 18cm = 339.12 square centimeters.
The area of the base (A) can be calculated using the formula for the area of a circle: A = π * r^2.
Plugging in the given radius, we have: A = 3.14 * (6cm)^2 = 3.14 * 36cm^2 = 113.04 square centimeters.
Therefore, the total surface area is the sum of the curved surface area and the area of the base: 339.12 square centimeters + 113.04 square centimeters = 452.16 square centimeters.
So, the correct answer is 452.16 square centimeters.
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
1,356.48 square centimeters
1,356.48 square centimeters
339.12 square centimeters
339.12 square centimeters
452.16 square centimeters
452.16 square centimeters
197.82 square centimeter
1 answer