Orange traffic cones come in a variety of sizes. Approximate the volume, in cubic inches, of a traffic cone that has a height of 2 feet and a diameter of 10 inches. Use 3.14 for pie

Respuesta :

Answer:

Volume of the cone = 628 cubic inches.

Step-by-step explanation:

Given:

Height of the traffic cone, [tex]h[/tex] = 2 feet = 24 inches        ...[1 feet =12 inches]

Diameter of the cone, [tex]d[/tex] = 10 inches

Radius of the cone, [tex]r[/tex] = 5 inches                                  ...[[tex]r=\frac{d}{2}[/tex]]

Value of pie, [tex]\pi[/tex] = 3.14

We have to find the approximate volume.

Lets say that the volume is [tex]V[/tex] .

Formula:

Volume of a cone = [tex]\frac{\pi r^2h}{3}[/tex]

So,

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

Plugging the values.

[tex]V=\frac{3.14\times 5^2\times 24}{3}[/tex]

[tex]V=\frac{3.14\times 25\times 24}{3}[/tex]

[tex]V=628[/tex]  [tex]inches^3[/tex]

The volume of the orange traffic cone is 628 inches^3.

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