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
942 square centimeters
942 square centimeters
1,884 square centimeters
1,884 square centimeters
1,648.5 square centimeters
1,648.5 square centimeters
109.9 square centimeters
The lateral surface area of the cone-shaped megaphone can be calculated by finding the area of the curved surface.
To find the area of the curved surface, we need to find the slant height and the circumference of the base.
The slant height of the megaphone is given as 20 cm.
The circumference of the base can be found using the formula:
Circumference = 2 * pi * radius
where the radius is given as 15 cm.
Circumference = 2 * 3.14 * 15
Circumference = 94.2 cm
Now, we can calculate the area of the curved surface using the formula:
Curved surface area = pi * radius * slant height
Curved surface area = 3.14 * 15 * 20
Curved surface area = 942 cm^2
Therefore, the lateral surface area of the megaphone is 942 square centimeters.