Final answer:
The volume of the cone is approximately 314 cubic yards.
Step-by-step explanation:
The volume of a cone can be calculated using the formula:
V = ⅓πr2h
where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the base radius, and h is the height of the cone.
Substituting the given values into the formula, we have:
V = ⅓×3.14×52×12
So, the volume of the cone is approximately 314 cubic yards.