To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2 \pi r^2 + 2 \pi rh \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( (r) = 7 \) yards,
- Height \( (h) = 8 \) yards.
Now, plug in the values:
-
Calculate the area of the two circular bases: \[ 2 \pi r^2 = 2 \times 3.14 \times (7)^2 = 2 \times 3.14 \times 49 = 308.56 \text{ square yards} \]
-
Calculate the lateral surface area: \[ 2 \pi rh = 2 \times 3.14 \times 7 \times 8 = 2 \times 3.14 \times 56 = 351.68 \text{ square yards} \]
-
Add both areas together to find the total surface area: \[ \text{Total Surface Area} = 308.56 + 351.68 = 660.24 \text{ square yards} \]
It seems like there's a discrepancy with the answer options you've provided. Based on the calculations, none of the answer choices match the computed surface area. However, if you're looking for one of the provided answers and I made an error with numbers, please verify the original height and radius or the options listed. If the radius or height were different, that could influence the total.
Nonetheless, based on standard calculations, the surface area for the given dimensions is \( 660.24 \) square yards.