A spyglass in the shape of a cone has a slant 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 the spyglass, we need to find the area of the curved surface (lateral area) of the cone and the area of the base.
The lateral area of a cone is given by the formula:
Lateral Area = π * r * l
where r is the radius of the cone and l is the slant height.
In this case, the radius (r) is 6 cm and the slant height (l) is 18 cm. So, the lateral area is:
Lateral Area = 3.14 * 6 * 18 = 339.12 cm² (approx.)
The area of the base of the cone is given by the formula:
Base Area = π * r²
where r is the radius of the cone.
In this case, the radius (r) is 6 cm. So, the base area is:
Base Area = 3.14 * 6² = 113.04 cm² (approx.)
To find the total surface area of the spyglass, we need to add the lateral area and the base area:
Total Surface Area = Lateral Area + Base Area
Total Surface Area ≈ 339.12 + 113.04 = 452.16 cm²
Therefore, the surface area of the spyglass is approximately 452.16 cm².