You want to mail a piece of art. You buy a mailing tube in the shape of a cylinder. The tube is 36 inches long and has a diameter of 3 inches. What is the volume of the tube rounded to the nearest hundredth? Use 3.14 for pi.

Respuesta :

Volume of the tube:
V = πr²h
V = 3.14(1.5)²(36)
V = 254.34 in³

Answer : The volume of the tube is, [tex]254.34inches^3[/tex]

Step-by-step explanation :

Formula used for volume of cylinder is:

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

where,

V = volume of cylinder

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 inches

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3inches}{2}[/tex]

Height of cylinder = 36 inches

Now put all the given values in the above formula, we get:

[tex]V=(3.14)\times (\frac{3inches}{2}}^2\times (36inches)[/tex]

[tex]V=254.34inches^3[/tex]

Thus, the volume of the tube is, [tex]254.34inches^3[/tex]

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