To find the surface area \( S \) of a cylinder, you can use the formula:
\[ S = 2\pi r(h + r) \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
Since the problem doesn't provide specific values for \( r \) and \( h \), it is impossible to calculate the surface area directly. However, if we assume typical values for a cylinder’s dimensions, we can illustrate how to use the formula.
Let's assume:
- \( r = 5 \) cm (for example),
- \( h = 10 \) cm (for example).
Now plug in the values:
\[ S = 2 \cdot 3.14 \cdot 5 (10 + 5) \]
Calculating gives:
\[ S = 2 \cdot 3.14 \cdot 5 \cdot 15 \]
First calculate \( 2 \cdot 3.14 \):
\[ 2 \cdot 3.14 = 6.28 \]
Then calculate \( 5 \cdot 15 \):
\[ 5 \cdot 15 = 75 \]
Now, multiply these results:
\[ S = 6.28 \cdot 75 \approx 471 \]
Since this is just an illustrative calculation, the actual surface area will depend on the specific dimensions of the cylinder you have for your problem.
Based on solid assumptions, if we had height and radius data, you would directly find the surface area cable of one of the responses provided.
If you have specific values for \( r \) and \( h \), please let me know so I can compute the exact surface area for you!