To find the surface area of the cone, we need to find the area of the curved surface (lateral surface area) and the area of the base.
The curved surface area of a cone can be calculated with the formula A = πrl, where r is the radius and l is the slant height.
Plugging in the values, we get A = π * 6 cm * 18 cm = 108π cm^2.
The base of a cone is a circle with radius r, so the area of the base is A = πr^2.
Plugging in the value, we get A = π * 6 cm^2 = 36π cm^2.
The total surface area of the cone is the sum of the curved surface area (108π cm^2) and the base area (36π cm^2).
Total surface area = 108π cm^2 + 36π cm^2 = 144π cm^2 ≈ 452.39 cm^2.
Therefore, the surface area of the spyglass is approximately 452.39 cm^2.
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
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