Question

A concrete column has a diameter of 370 mmmm and a length of 3 mm . If the density (mass//volume) of concrete is 2.45 Mg/m 3 Mg/m3, determine the weight of the column in pounds. Express your answer using three significant figures.

Answer 1

Weight of column is 1750.03 pounds

Step-by-step explanation:

Diameter of column,d = 370 mm = 0.37 m

Length of column, l = 3 m

Volume of column,V = Base area x Length

$\texttt{Base area = }\frac{\pi d^2}{4}\\\\\texttt{Base area = }\frac{\pi \times 0.37^2}{4}=0.108m^2$

Volume of column,V = Base area x Length = 0.108 x 3 = 0.324 m³

Density of concrete, d = 2.45 Mg/m³ = 2450 kg/m³

Mass of concrete, m = Volume of column x Density of concrete

Mass of concrete, m = 0.324 x 2450 = 793.8 kg = 1750.03 pounds

Weight of column is 1750.03 pounds