A cone shaped megaphone has a radius of 15 center meters in slant Heights of 20 cm. A megaphone has an open bottom. What is the lateral surface area of the megaphone, in square centimeters? Use 3.14 pi
To find the lateral surface area of the megaphone, we need to find the slant height of the cone.
Since the slant height is given as 20 cm, we can use the Pythagorean theorem to find the height of the cone:
height^2 + radius^2 = slant height^2
height^2 + 15^2 = 20^2
height^2 + 225 = 400
height^2 = 175
height ≈ √175 ≈ 13.23 cm
The lateral surface area of a cone is given by the formula: LSA = π * radius * slant height
Let's calculate the lateral surface area:
LSA = 3.14 * 15 cm * 20 cm
LSA ≈ 942 cm^2
Therefore, the lateral surface area of the megaphone is approximately 942 square centimeters.