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You are working on an air conditioning system. A roll of cylindrical copper tubing has an outside diameter of 7/8 inch and an inside diameter of 3/4 inch. How much refrigerant can 12 feet of the tubing hold?

Respuesta :

calculista

Answer:

[tex]20.25\pi\ in^{3}[/tex]  or [tex]63.585\ in^{3}[/tex]

Step-by-step explanation:

Find the volume of the inside of cylindrical copper tubing

The volume is equal to

[tex]V=\pi r^{2} L[/tex]

we have

[tex]r=(3/4)/2=3/8\ in[/tex] ----> the radius is half the diameter

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]12\ ft=12*12=144\ in[/tex]

[tex]L=144\ in[/tex]

substitute the values and find the volume

[tex]V=\pi (3/8)^{2}(144)[/tex]

[tex]V=20.25\pi\ in^{3}[/tex] -----> exact value

assume

[tex]\pi=3.14[/tex]

[tex]V=20.25(3.14)=63.585\ in^{3}[/tex] -----> approximate value

Answer: A

Step-by-step explanation:

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