5. A cylindrical pipe is placed in a rectangular trench that is 5m x 4m and 2.5m deep, is placed across the shorter side of the trench.
5.1 How much volume of cement will be needed to cover this hollow
pipe?
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The volume (density) of cement that will be needed to cover this hollow pipe is:

= 50,000 kg/m³

Step-by-step explanation:

Length of a cylindrical pipe = 5m

Width of the cylindrical pipe = 4m

Depth of the cylindrical pipe = 2.5m

The cubic meters of the cylindrical pipe = 5 * 4 * 2.5 = 50m³

1 cubic meter is equal to 1,000 kilogram

Therefore, the volume (density) of cement that will be needed to cover this hollow pipe is:

= 50 * 1,000

= 50,000 kg/m³

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is