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
- \( h \) is the height
Given:
- Height \( h = 15 \) cm
- Radius \( r = 5 \) cm
- \( \pi \approx 3.14 \)
Now, substitute the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times (15 + 5) \]
First, calculate \( h + r \):
\[ h + r = 15 + 5 = 20 \]
Now, substitute that back into the surface area equation:
\[ \text{Surface Area} = 2 \times 3.14 \times 5 \times 20 \]
Calculate \( 2 \times 3.14 \):
\[ 2 \times 3.14 = 6.28 \]
Now multiply by \( 5 \):
\[ 6.28 \times 5 = 31.4 \]
Now multiply by \( 20 \):
\[ 31.4 \times 20 = 628 \]
Thus, the surface area of the cylinder is 628 square centimeters.
The correct response is: 628 square centimeters.