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
1,884 square centimeters
1,884 square centimeters
1,648.5 square centimeters
1,648.5 square centimeters
942 square centimeters
The lateral surface area (LSA) of a cone can be calculated using the formula:
LSA = π * r * l
where r is the radius and l is the slant height of the cone.
Given:
Radius (r) = 15 cm
Slant height (l) = 20 cm
π (pi) ≈ 3.14 (as given)
Plugging in the values we get:
LSA = 3.14 * 15 cm * 20 cm
LSA = 3.14 * 300 cm²
LSA = 942 cm²
Therefore, the lateral surface area of the cone-shaped megaphone is 942 square centimeters.