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  • 03-02-2020
  • Mathematics
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Sketch a cone with radius 4 feet and height 6 feet, then find the volume and select the correct units. Round your answer to the nearest tenth.

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calculista
calculista calculista
  • 11-02-2020

Answer:

[tex]V=100.5\ ft^3[/tex]

The drawing in the attached figure

Step-by-step explanation:

we know that

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

where

r is the radius of the circular base of the cone

h is the height of the cone

we have

[tex]r=4\ ft\\h=6\ f[/tex]t

assume

[tex]\pi =3.14[/tex]

substitute the values

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

[tex]V=100.5\ ft^3[/tex]

The drawing in the attached figure

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