To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height of the cylinder.
Given:
- Radius (\( r \)) = 4 cm
- Height (\( h \)) = 2 cm
- Approximation for \( \pi \) = 3.14
Now, substituting the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times (2 + 4) \]
First, calculate \( h + r \):
\[ h + r = 2 + 4 = 6 \]
Now substitute back into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times 6 \]
Calculating this step-by-step:
- \( 2 \times 3.14 = 6.28 \)
- \( 6.28 \times 4 = 25.12 \)
- \( 25.12 \times 6 = 150.72 \)
Thus, the surface area of the cylinder is:
\[ \text{Surface Area} \approx 150.72 \text{ square centimeters} \]
So, the answer is 150.72 square centimeters.