Calculating the Mass of Portland Cement Concrete

How many kilograms of Portland cement concrete (PCC) are required to cast a cylindrical column?

Portland cement concrete (PCC) has a density of 150 lb/ft³. How many kilograms of PCC are required to cast a cylindrical column 1.15 m in diameter and 7.8 m in height? (1 kg = 2.205 lb, 1 inch = 2.54 cm)

Choose the correct option:

a) 19466.7 kg

Answer

The correct answer is 19466.7 kg

To calculate the mass of Portland cement concrete required to cast a cylindrical column, we first need to understand the given data:

  • Density of Portland cement concrete (PCC) = 150 lb/ft³
  • Diameter of the cylinder = 1.15 m
  • Height of the cylinder = 7.8 m
  • 1 kg = 2.205 lb

Given the density of PCC in lb/ft³, we need to convert it to kg/m³:

1 lb/ft³ = 16.018 kg/m³

Therefore, 150 lb/ft³ = 2402.77 kg/m³

Using the formula for density [tex]d=\\dfrac{m}{V}[/tex], where m is the mass of PCC in kg and V is the volume of the cylinder, we can calculate the mass:

[tex]m=d\\times V[/tex]

[tex]m=d\\times \\pi r^2 h\\\\m=2402.77\\times \\pi \\times (1.15/2)^2\\times 7.8\\\\m=19466.70\\ kg[/tex]

Therefore, the mass of Portland cement concrete required to cast the cylindrical column is 19466.7 kg.

← Exciting discovery percent composition of silicon in silicon carbide Abraham lincoln s expectation for his son a father s guidance →