To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
First, we need to find the radius. Given the diameter is 3 yards, the radius \( r \) is:
\[ r = \frac{\text{diameter}}{2} = \frac{3 \text{ yd}}{2} = 1.5 \text{ yd} \]
Next, substitute the radius and height into the volume formula. The height \( h \) is 4 yards:
\[ V = \pi (1.5 \text{ yd})^2 (4 \text{ yd}) \]
Calculate \( (1.5)^2 \):
\[ (1.5)^2 = 2.25 \]
Now, substitute this into the volume equation:
\[ V = \pi (2.25 \text{ yd}^2) (4 \text{ yd}) = \pi (9 \text{ yd}^3) \]
Now, approximate \( V \) using \( \pi \approx 3.14 \):
\[ V \approx 3.14 \times 9 \text{ yd}^3 \approx 28.26 \text{ yd}^3 \]
Thus, the best approximation of the volume of the cylinder is:
\[ \approx 28.3 \text{ yd}^3 \]
Therefore, the BEST answer from the options provided is 28.3.