Final answer:
The volume of a cone with a radius of 8.7 inches and a height of 14 inches is approximately 3329.0 cubic inches.
Step-by-step explanation:
To find the volume of a cone, we can use the formula V = (1/3)πr²h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Given that the radius is 8.7 inches and the height is 14 inches, we can substitute these values into the formula:
V = (1/3) x 3.14 x (8.7 inches)² x 14 inches
V ≈ 3.14 x 75.69 square inches x 14 inches
V ≈ 3329.04 cubic inches
Therefore, the volume of the cone is approximately 3329.0 cubic inches.