The volume of the cylinder-shaped pillar is given by the formula:
V = πr²h
where r is the radius of the base (which is half the diameter), and h is the height. So, for this pillar:
r = 6 meters / 2 = 3 meters
h = 7 meters
Substituting these values, we get:
V = π(3 meters)²(7 meters)
V = π(9 meters²)(7 meters)
V = π(81 meters³)
Using the value of π = 3.14159265359 (rounded to 11 decimal places), we can calculate the volume:
V ≈ 2,251.94671058 cubic meters
Multiplying the volume by the cost per cubic meter, we get the total cost of the concrete:
Total Cost = V × Cost per cubic meter
Total Cost = 2,251.94671058 cubic meters × $116/cubic meter
Total Cost ≈ $261,372.98
Rounding this to the nearest cent, we get the final answer:
The concrete cost for the pillar is approximately $261,372.98