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, and
- \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 3 yards
- Radius (\( r \)) = 2 yards
- \( \pi \approx 3.14 \)
Now, calculate the surface area:
-
Calculate the area of the top and bottom circles: \[ 2\pi r^2 = 2 \times 3.14 \times (2)^2 = 2 \times 3.14 \times 4 = 25.12 \text{ square yards} \]
-
Calculate the area of the side (lateral surface area): \[ 2\pi rh = 2 \times 3.14 \times 2 \times 3 = 2 \times 3.14 \times 6 = 37.68 \text{ square yards} \]
-
Add both areas together to find the total surface area: \[ \text{Surface Area} = 25.12 + 37.68 = 62.80 \text{ square yards} \]
Thus, the surface area of the cylinder is 62.8 square yards.
So the correct answer is 62.8.