A cone-shaped megaphone has a radius of 15 centimeters and a slant height of 20 centimeters. A megaphone has an open bottom. What is the lateral surface area of the megaphone, in square centimeters? Use 3.14 for pi.(1 point)
Responses
109.9 square centimeters
109.9 square centimeters
942 square centimeters
942 square centimeters
1,648.5 square centimeters
1,648.5 square centimeters
1,884 square centimeters
1,884 square centimeters
To find the lateral surface area of the cone-shaped megaphone, we need to find the slant height of the cone, as well as the circumference of the base.
The slant height of the cone is given as 20 centimeters.
The circumference of the base can be found using the formula:
C = 2πr, where r is the radius. Plugging in the given radius of 15 centimeters, we get:
C = 2 * 3.14 * 15 = 94.2 centimeters.
The lateral surface area of the cone can be found using the formula:
Lateral Surface Area = πr * l, where r is the radius and l is the slant height. Plugging in the given values, we get:
Lateral Surface Area = 3.14 * 15 * 20 = 942 square centimeters.
Therefore, the correct answer is 942 square centimeters.