Question

A cone shape megaphone has a radius of 15 centimeters in a slant height of 20 centimeters. A megaphone has an open bottom. What is the literal surface of the megaphone in square meters use three point one four four pi

Answer 1

To calculate the lateral surface area of a cone-shaped megaphone, you can use the formula for the lateral surface area of a cone:

\[
L = \pi r l
\]

where:
- \(L\) is the lateral surface area,
- \(r\) is the radius, and
- \(l\) is the slant height.

Given:
- \(r = 15\) centimeters,
- \(l = 20\) centimeters,
- Use \( \pi \approx 3.144 \).

Now, substitute the values into the formula:

\[
L = 3.144 \times 15 \times 20
\]

Calculating it step by step:

1. Calculate \(15 \times 20\):
\[
15 \times 20 = 300
\]

2. Now multiply by \(3.144\):
\[
L = 3.144 \times 300 = 943.2 \text{ cm}^2
\]

Now, to convert square centimeters to square meters (since \(1 \text{ m}^2 = 10,000 \text{ cm}^2\)):

\[
\text{Lateral Surface Area} = \frac{943.2 \text{ cm}^2}{10,000} = 0.09432 \text{ m}^2
\]

Thus, the lateral surface area of the cone-shaped megaphone is approximately:

\[
\boxed{0.09432 \text{ m}^2}
\]