ilonasullivan1 ilonasullivan1
  • 14-08-2019
  • Mathematics
contestada

The radius of a cylindrical construction pipe is 2.5ft. If the pipe is 21ft long, what is its volume?

Respuesta :

luisejr77
luisejr77 luisejr77
  • 14-08-2019

Answer:  [tex]V =412.33\ ft^3[/tex]

Step-by-step explanation:

As we do not know the internal radius of the pipe, then to calculate its volume we assume that the pipe is full of water.

This means that the volume of the pipe is the volume of a cylinder with radius [tex]r = 2.5\ ft[/tex]  and length  [tex]h = 21\ ft[/tex]

The volume of a cylinder is calculated using the following formula:

[tex]V =\pi r^2h[/tex]

Then the volume is:

[tex]V =\pi (2.5)^2(21)[/tex]

[tex]V =412.33\ ft^3[/tex]

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