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:

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