The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number

Question

Anika

Mathematics

10 December, 12:58

The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number

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Answers (1)

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Cristofer Kirby · Answer 1

Sin x = 5/13

x = arc sin (5/13)

A1 = x° / 360° * π (13) ^2

A1 = 33 cm^2

A2 = πr^2 = 3.14 * (5^2)

A2 = 79 cm^2

A = A1 + A2 = 33 + 79

A = 112 cm^2