Question

1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bars needs to be painted with a rust proof paint (including the ends). One litre of paint will cover 4m^3. Calculate the number of litres of paint (tothe nearest litre) for 1000 bars.

Answer 1

the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

Explanation:

Given that:

1000 cylindrical metal bars have :

a length of 120 m

and a diameter of 0.2 m

The volume of the cylindrical bar can be calculated by the formula:

`V= \pi r^2 h`

where ;

radius
`r=(d)/(2)`

`r = (0.2)/(2)`

r = 0.1 m

the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m

Thus the volume can now be calculated as follows:

`V= \pi* 0.1^2*120`

V = 3.77 m³

So; from the given information.

One litre of paint will cover 4m³

and we want to find how many litres of paint will be used for the 1000 cylindrical bars.

If 1 litre = 4m³

Then x litre = 3.77 m³

4x = 1 × 3.77

`x = (1*3.77 )/(4)`

x = 0.9425 litres

x = 1 litres to the nearest litres.

Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre