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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- height \( h = 8 \) yards,
- radius \( r = 7 \) yards.
Now, plug in the values:
\[ S = 2 \cdot 3.14 \cdot 7 \cdot (8 + 7) \]
First, calculate \( (8 + 7) \):
\[ 8 + 7 = 15 \]
Now substitute this back into the formula:
\[ S = 2 \cdot 3.14 \cdot 7 \cdot 15 \]
Now calculate \( 2 \cdot 7 = 14 \):
\[ S = 14 \cdot 3.14 \cdot 15 \]
Next, calculate \( 3.14 \cdot 15 \):
\[ 3.14 \cdot 15 = 47.1 \]
Now multiply by 14:
\[ S = 14 \cdot 47.1 = 659.4 \]
Thus, the surface area \( S \) of the cylinder is \( 659.4 \) square yards.
However, it appears that in your response options, there is no option for 659.4 square yards, so please let me know if the dimensions provided are different or if there's another way you'd like to proceed!