A spy glass in the shape of a cone has a slant height of 18 cm and a radius of 6 cm what is the surface area of the spyglass use 3.14 for pi
To find the surface area of a cone, we need to find the area of the curved surface (lateral area) and the area of the base.
The curved surface area of a cone can be calculated using the formula:
Lateral area = π * radius * slant height
Given:
Radius = 6 cm
Slant height = 18 cm
Lateral area = 3.14 * 6 * 18 = 339.12 cm² (rounded to two decimal places)
The area of the base of the cone is the area of a circle with radius 6 cm:
Base area = π * radius^2 = 3.14 * 6^2 = 113.04 cm² (rounded to two decimal places)
To find the total surface area, we need to add the lateral area and the base area:
Total surface area = Lateral area + Base area
Total surface area = 339.12 cm² + 113.04 cm² = 452.16 cm² (rounded to two decimal places)
Therefore, the surface area of the spyglass is approximately 452.16 cm².