To determine the best approximation of the volume of a cylinder, we can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height of the cylinder. However, since the specific dimensions (radius and height) of the cylinder are not provided in your question, I can't calculate the exact volume.
Typically, if you have the dimensions of the cylinder, you can plug the values into the formula to determine the volume, and then compare with the options provided.
If you think about common approximate values for \(\pi\) (which is roughly 3.14), you can perform the calculation based on possible common heights and radii to determine which volume option (12.4 yd³, 28.3 yd³, 113.1 yd³, or 97.8 yd³) matches closely.
If you have specific measurements for the radius and height, please provide them, and I can help you compute the volume and find the best approximation. Otherwise, based on typical cylinder dimensions, it's hard to ascertain which option is the best guess. If you provide more context or dimensions, I can help further.