To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 2 \) yards,
- \( h = 3 \) yards.
Now, plug in the values:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times (3 + 2) \]
First, calculate \( h + r \):
\[ h + r = 3 + 2 = 5 \]
Now, substitute this back into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times 5 \]
Calculate step-by-step:
- \( 2 \times 2 = 4 \)
- \( 4 \times 5 = 20 \)
- \( 20 \times 3.14 = 62.8 \)
Thus, the surface area of the cylinder is:
\[ \text{Surface Area} = 62.8 \text{ square yards} \]