ninahilaire ninahilaire
  • 13-12-2019
  • Mathematics
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what is the volume of this problem ? please help!

what is the volume of this problem please help class=

Respuesta :

calculista
calculista calculista
  • 19-12-2019

Answer:

[tex]V=168\pi\ m^3[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the complete cylinder minus the hollow area.

The volume of a cylinder is equal to

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

so

The volume of the figure is

[tex]V=\pi r_1^{2}h-\pi r_2^{2}h[/tex]

we have

[tex]r_1=9\ m\\r_2=5\ m\\h=3\ m[/tex]

substitute

[tex]V=\pi (9)^{2}(3)-\pi (5)^{2}(3)[/tex]

[tex]V=168\pi\ m^3[/tex]

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