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sdas [7]
3 years ago
6

A concrete column has a diameter of 390 mm and a length of 3 m. If the density (mass/volume) of concrete is 2.45 Mg/m^3, determi

ne the weight of the column in pounds.
Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

<h2>w= 0.83 N</h2>

Step-by-step explanation:

The column has the shape of a cylinder hence the formula for the volume of a cylinder is

v=\pi r^2h

Given

diameter d= 390 mm

radius r= 390/2= 195 mm to meter = 0.195 m

length or height h= 3 m

applying the data to the formula we have

v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3

we can now use the volume in addition with the density given to solve for the mass using the expression for density

density= mass/volume

2.45= mass/0.035

mass= 2.45*0.035

mass= 0.085 mg

We know that weight

w= mass* acceleration

w= 0.085*9.81

w= 0.83 N

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