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 and \(h\) is the height of the cylinder.
Given:
- Radius \(r = 2\) yd
- Height \(h = 3\) yd
- Use \(\pi \approx 3.14\)
First, calculate the area of the circular bases:
\[ \text{Area of the bases} = 2\pi r^2 = 2 \times 3.14 \times (2)^2 \] \[ = 2 \times 3.14 \times 4 = 25.12 \text{ yd}^2 \]
Next, calculate the lateral surface area:
\[ \text{Lateral Surface Area} = 2\pi rh = 2 \times 3.14 \times 2 \times 3 \] \[ = 2 \times 3.14 \times 6 = 37.68 \text{ yd}^2 \]
Now, add both areas together for the total surface area:
\[ \text{Total Surface Area} = 25.12 + 37.68 = 62.8 \text{ yd}^2 \]
So, the surface area of the cylinder is
62.8 yd².