shelbyv14osohch shelbyv14osohch
  • 27-05-2019
  • Mathematics
contestada

Suppose the volume of a cylinder is 169.65 ft cubes and the height is twice the radius what is the radius of the cylinder.

Respuesta :

calculista
calculista calculista
  • 06-06-2019

Answer:

The radius of the cylinder is [tex]r=3\ ft[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

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

we have

[tex]V=169.65\ ft^{3}[/tex]

[tex]h=2r\ ft[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values and solve for r

[tex]169.65=(3.14)r^{2} (2r)[/tex]

[tex]169.65=(6.28)r^{3}[/tex]

[tex]r^{3}=169.65/(6.28)[/tex]

[tex]r=3\ ft[/tex]

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