To find the surface area of a cylinder, we 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 \( r = 7 \) ft
- Height \( h = 14 \) ft
Plugging in the values:
\[ \text{Surface Area} = 2\pi (7)(14 + 7) \]
Calculating inside the parentheses first:
\[ 14 + 7 = 21 \]
Now substituting back into the equation:
\[ \text{Surface Area} = 2\pi (7)(21) \]
Now calculating \( 7 \times 21 \):
\[ 7 \times 21 = 147 \]
Now we can calculate the surface area:
\[ \text{Surface Area} = 2\pi (147) = 294\pi \]
Thus, the surface area of the cylinder is
\[ \boxed{294\pi} \]
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