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.
To find the lateral surface area of a cone-shaped megaphone, you need to calculate the curved surface area of the cone.
The curved surface area of a cone can be found using the formula:
Curved Surface Area = π × r × l
Where:
- π is the mathematical constant, approximately equal to 3.14.
- r is the radius of the base of the cone.
- l is the slant height of the cone.
In this case, the radius (r) of the megaphone is given as 15 centimeters, and the slant height (l) is given as 20 centimeters.
Using the given values, substitute them into the formula to find the curved surface area:
Curved Surface Area = 3.14 × 15 × 20
Calculating the equation:
Curved Surface Area = 942 square centimeters
Therefore, the lateral surface area of the megaphone is 942 square centimeters.