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, and
- \( h \) is the height of the cylinder.
From your description, the cylinder has a diameter of \( 3 \) yards, which means the radius \( r \) is:
\[ r = \frac{3}{2} = 1.5 \text{ yards} \]
The height \( h \) of the cylinder is \( 4 \) yards.
Now we can plug in these values into the volume formula:
\[ V = \pi (1.5)^2 (4) \] \[ V = \pi (2.25) (4) \] \[ V = 9\pi \]
Now, we can approximate \( \pi \) as \( 3.14 \):
\[ V \approx 9 \times 3.14 \approx 28.26 \text{ yd}^3 \]
Rounding this gives us approximately \( 28.3 \text{ yd}^3 \).
So, the best approximation of the volume of the cylinder is:
28.3 yd³.