To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- \( r = 4 \) cm,
- \( h = 2 \) cm,
- \( \pi \approx 3.14 \).
Now, let's calculate each component:
-
Calculate the area of the two circular bases: \[ 2\pi r^2 = 2 \times 3.14 \times (4^2) = 2 \times 3.14 \times 16 = 2 \times 50.24 = 100.48 \text{ cm}^2 \]
-
Calculate the lateral surface area: \[ 2\pi rh = 2 \times 3.14 \times 4 \times 2 = 2 \times 3.14 \times 8 = 50.24 \text{ cm}^2 \]
-
Total Surface Area: \[ \text{Surface Area} = 100.48 + 50.24 = 150.72 \text{ cm}^2 \]
Therefore, the surface area of the cylinder is approximately \( \boxed{150.72} \) square centimeters.