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

Question

1,648.5 square centimeter
942 square centimeter
109.9 square centimeter
1,884 centimeter

Answer 1

To calculate the lateral surface area of a cone, you can use the formula:

\[ \text{Lateral Surface Area} = \pi r l \]

where:

• \( r \) is the radius of the base,
• \( l \) is the slant height.

Given:

• \( r = 15 \) cm,
• \( l = 20 \) cm,
• We will use \( \pi \approx 3.144 \).

Now, substituting the values into the formula:

\[ \text{Lateral Surface Area} = 3.144 \times 15 \times 20 \]

Calculating step-by-step:

1. \( 15 \times 20 = 300 \)
2. \( 3.144 \times 300 = 943.2 \)

So, the lateral surface area is \( 943.2 \) square centimeters.

Now, rounding this to the nearest whole number gives \( 943 \) square centimeters.

Among the options provided, none match exactly, but \( 942 \) square centimeters is the closest option.

So, the answer is: 942 square centimeters.