Final answer:
To calculate the volume of a concrete column, find the cross-sectional area of the column and multiply it by the height. In this case, the diameter of the column is 20 inches, and the height is 18'3". Convert the cross-sectional area to cubic yards and calculate the volume using the formula V = (100π)(219) / 46,656.
Step-by-step explanation:
To calculate the volume of a concrete column, we need to find the cross-sectional area of the column and multiply it by the height. In this case, the diameter of the column is 20 inches, which is equivalent to a radius of 10 inches. To find the cross-sectional area, we use the formula for the area of a circle, which is A = πr². So, the cross-sectional area is A = π(10²) = 100π square inches.
To convert this to cubic yards, we need to multiply it by the height in inches and divide by 46,656 (since there are 46,656 cubic inches in a cubic yard). The height of the column is given as 18 feet 3 inches. To convert this to inches, we multiply by 12 (since there are 12 inches in a foot) and add the remaining 3 inches. So, the height in inches is 18 x 12 + 3 = 219 inches.