To find the surface area of the cone-shaped spyglass, we need to find the lateral surface area and the base area.
The lateral surface area of a cone is given by the formula: L = π * r * l, where:
- L is the lateral surface area
- π is a constant approximately equal to 3.14
- r is the radius of the base of the cone
- l is the slant height of the cone
Plugging in the given values, we have:
L = 3.14 * 6 * 18
L = 339.12 cm²
The area of the base of the cone is given by the formula: B = π * r²
Plugging in the given radius, we have:
B = 3.14 * (6)²
B = 113.04 cm²
The surface area of the cone is the sum of the lateral surface area and the base area: S = L + B
S = 339.12 + 113.04
S = 452.16 cm²
Therefore, the surface area of the spyglass is 452.16 cm².
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
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