To calculate the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- \( r = 4 \) cm
- \( h = 2 \) cm
Now plug the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times (2 + 4) \]
Calculate \( (h + r) \):
\[ h + r = 2 + 4 = 6 \]
Now substitute back into the surface area formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times 6 \]
Calculate \( 2 \times 3.14 \):
\[ 2 \times 3.14 = 6.28 \]
Now calculate \( 6.28 \times 4 \):
\[ 6.28 \times 4 = 25.12 \]
Now calculate \( 25.12 \times 6 \):
\[ 25.12 \times 6 = 150.72 \]
Therefore, the surface area of the cylinder is:
\[ \text{Surface Area} = 150.72 , \text{cm}^2 \]
So the final answer is:
\[ \text{Surface Area} \approx 150.72 , \text{cm}^2 \]