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Answer :
Final answer:
To determine the weight of the concrete column, calculate its mass by multiplying the volume of the column by the density of concrete. Then, convert the mass to pounds using the appropriate conversion factor. The weight of the column is 1440.34 pounds. The answer is not provided among options.
Explanation:
To determine the weight of the concrete column, we need to calculate its mass and then convert it to pounds. The mass can be obtained by multiplying the volume of the column by the density of concrete.
The volume of a cylindrical column is given by the formula V = πr^2h, where r is the radius and h is the height. In this case, the radius is half the diameter, so r = 175 mm = 0.175 m. The height is given as 2.8 m.
Using the formula V = πr^2h, we can calculate the volume: V = π(0.175 m)^2(2.8 m) = 0.2667 m³.
Now, we can calculate the mass by multiplying the volume by the density: m = (0.2667 m³)(2.45 Mg/m³) = 0.6536 Mg.
Finally, to convert to pounds, we can multiply the mass by the conversion factor 1 Mg = 2204.62 pounds:
weight = (0.6536 Mg)(2204.62 pounds/Mg) = 1440.34 pounds.
Hence, The answer is not provided among options.
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