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QuizMultiple Choice

Surface Area — Quiz

Question 1 • MASTER COURSE Geometry

The circumference of the base of a cone is 24 pi inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of pi

Answer
A
480 pi square inches
B
624 pi square inches
C
384 pi square inches
D
240 pi square inches

Explanation

Use the circumference, 2πr = 24π, to find the radius: r = 12 inches. The cone’s total surface area is the lateral area plus the base area: πrl + πr² = π(12)(20) + π(12²) = 240π + 144π = 384π square inches. Therefore, the correct choice is D, 384π square inches.

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