A cone shape megaphone has a radius of 15 cm and a slanted 20 cm and megaphone has an open bottom what is the lateral surface area of the megaphone in square centimeters you 3.14 for pi
To calculate the lateral surface area of the cone-shaped megaphone, we need to calculate the slant height and then use it to find the lateral surface area.
The slant height of the cone can be found using the Pythagorean theorem:
slant height² = radius² + height²
Given radius = 15 cm, slant height = 20 cm (hypotenuse)
Using the formula:
20² = 15² + height²
400 = 225 + height²
height² = 400 - 225
height² = 175
height = √175
height ≈ 13.23 cm
The lateral surface area of the cone can be calculated using the formula:
lateral surface area = π × radius × slant height
lateral surface area = 3.14 × 15 cm × 20 cm
lateral surface area ≈ 942 cm²
Therefore, the lateral surface area of the cone-shaped megaphone is approximately 942 square centimeters.