Final answer:
The best estimate for the volume of the cylinder is 2076.36736 cubic inches.
Step-by-step explanation:
To find the volume of a cylinder, you can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the radius is 6.8 inches and the height is 14.2 inches. Plugging these values into the formula, we get V = 3.14 × (6.8 inches)² × 14.2 inches. Calculating this, we find that the best estimate for the volume is 2076.36736 cubic inches.