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A cylinder has a radius of 4 feet and a height of 6 feet Which of the following can be used to calculate the volume of a cone that its exactly inside the cylinder?
1/3(3.14)(4^2)(6)
(3.14)(4^2)(6)
1/3(3.14)(6^2)(4)
(3.14)(6^2)(4)

Respuesta :

Answer:

[tex]\frac{1}{3}(3.14)(4^2)(6)[/tex]

Step-by-step explanation:

The volume of a cylinder is given by:

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

Where [tex]r=4 ft[/tex] is the radius of the cylinder and [tex]h=6 ft[/tex] is the height of the cylinder.

Therefore the volume of this cylinder becomes: [tex]3.14(4^2)(6)[/tex]

The volume of a cone that fits directly into this cylinder is one-third of the the volume of this cylinder.

The required volume is [tex]\frac{1}{3}(3.14)(4^2)(6)[/tex]

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