To find the lateral surface area of a cone-shaped megaphone, we can use the formula for the lateral surface area of a cone, which is given by:
\[ \text{Lateral Surface Area} = \pi \times r \times l \]
where:
- \( r \) is the radius of the base,
- \( l \) is the slant height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 15 \) cm,
- Slant height \( l = 20 \) cm.
Now, we can substitute the given values into the formula:
\[ \text{Lateral Surface Area} = 3.14 \times 15 \times 20 \]
Calculating this:
\[ \text{Lateral Surface Area} = 3.14 \times 300 = 942 \]
Thus, the lateral surface area of the megaphone is 942 square centimeters.
Therefore, the correct response is:
942 square centimeters.