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if you have installed 4000 linear feet of 8 inch water pipe how much will it hold when full? (answe is 10,543) i need help writing it out​

Respuesta :

Answer:

[tex]768,000\pi\ in^{3}[/tex]  

Step-by-step explanation:

we know that

The volume of a cylinder (water pipe) is equal to

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

In this problem we have

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

[tex]L=4,000\ ft[/tex] ----> convert to inches

[tex]L=4,000*12=48,000\ in[/tex]

[tex]V=\pi (4^{2}48,000)=768,000\pi\ in^{3}[/tex]  

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