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)

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1 answer

The surface area of a cone can be calculated using the formula:

Surface Area = πr(r + l)

Where:
r = radius of the base of the cone
l = slant height of the cone
π ≈ 3.14

Given:
r = 6 cm
l = 18 cm

Substituting the values into the formula, we get:

Surface Area = 3.14 * 6(6 + 18)
= 3.14 * 6(24)
= 3.14 * 144
= 452.16 cm²

Therefore, the surface area of the spyglass is 452.16 cm².