Final answer:
To find the volume of the cone-shaped pile of sawdust, use the formula for the volume of a cone and substitute the given values. Solve the equation to find the volume.
Step-by-step explanation:
To find the volume of the cone-shaped pile of sawdust, we can use the formula for the volume of a cone:
Volume = (1/3) * pi * r^2 * h.
We need to find the radius (r) and the height (h) of the pile first.
Given that the base diameter is 36 feet, the radius is half of that, which is 18 feet.
And the height is given as 14 feet. Now, we can substitute these values into the formula:
Volume = (1/3) * 3.14 * 18^2 * 14.
Solving this equation will give us the volume of the pile.