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 of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately \( 3.14 \).
Given:
- Radius \( r = 4 \) meters,
- Height \( h = 10 \) meters.
Now, plug the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times (10 + 4) \]
Calculate \( (10 + 4) \):
\[ 10 + 4 = 14 \]
Now substitute that back into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 4 \times 14 \]
Next, calculate \( 2 \times 3.14 \):
\[ 2 \times 3.14 = 6.28 \]
Now proceed with the calculation:
\[ \text{Surface Area} = 6.28 \times 4 \times 14 \]
Calculate \( 4 \times 14 \):
\[ 4 \times 14 = 56 \]
Now multiply:
\[ \text{Surface Area} = 6.28 \times 56 \]
Calculate \( 6.28 \times 56 \):
\[ 6.28 \times 56 = 351.68 \]
Thus, the surface area of the cylinder is approximately:
\[ \text{Surface Area} \approx 351.68 \text{ square meters} \]
So, the final answer is:
The surface area of the cylinder is approximately 351.68 square meters.