Surface Area of Cones Quick Check
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Question
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)
Responses
452.16 square centimeters
452.16 square centimeters
1,356.48 square centimeters
1,356.48 square centimeters
197.82 square centimeters
197.82 square centimeters
339.12 square centimeters
To find the surface area of a cone, you use the formula:
Surface Area = πr(r + l)
Where r is the radius and l is the slant height.
Plugging in the values given in the question:
Surface Area = 3.14(6)(6 + 18)
Surface Area = 3.14(6)(24)
Surface Area = 3.14(144)
Surface Area = 452.16 square centimeters
Therefore, the surface area of the spyglass is 452.16 square centimeters.
Correct Response: 452.16 square centimeters