Final answer:
To find the diameter of the cone, use the formula for the volume of a cone, substitute the given values, solve for the radius, and multiply it by 2 to get the diameter.
Step-by-step explanation:
To find the diameter of the cone, we need to use the formula for the volume of a cone, which is V = (1/3)πr^2h.
Given that the height of the cone is 18 yards and the volume is 1060.29, we can substitute these values into the formula and solve for the radius (r).
1060.29 = (1/3)πr^2(18)
Multiplying both sides by 3 and dividing by π, we get r^2 = 1060.29 / (18 * (1/3)π)
Now, take the square root of both sides to find the radius: r = √(1060.29 / (18 * (1/3)π))
Finally, to find the diameter, we multiply the radius by 2: diameter = 2 * r