Question

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)

Answer 1

Answer:

Mass, m = 19466.7 kg

Explanation:

Given that,

Portland cement concrete (PCC) has a density of 150 lb/ft³

We need to find how many kilograms of PCC are required to cast a cylindrical column 1.15 m in diameter and 7.8 m in height.

Since, 1 kg = 2.205 lb

1 lb/ft³ = 16.018 kg/m³

150 lb/ft³ = 2402.77 kg/m³

Density, $d=\dfrac{m}{V}$

m is mass of PCC in kg and V is volume of cylinder

$m=d\times V$

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

So, the mass of PCC required is 19466.7 kg.