A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 4 foot long rod with an outer diameter of 2.2 inches and an inner diameter of 2 inches. What is the volume of metal in the conduit in cubic centimeters? ...?

Respuesta :

Answer:[tex]510. 12 cm^3[/tex]

The volume of a cylindrical conduit, [tex]V=\pi (r_2^2-r_1^2) h[/tex]

where [tex]r_1[/tex] is the inner radius, [tex]r_2[/tex] is the outer radius, h is the length.

First of all, we would covert each parameter into centimeters.

length of the conduit, [tex] h=4 ft=4\times 30.48 cm=121.92 cm[/tex]

outer radius, [tex]r_1=2.2/2 in =1.1 in= 1.1\times 2.54 cm=2.79 cm[/tex]

inner radius, [tex]r_1=2/2 in =1 in= 2.54 cm[/tex]

Insert the values in the volume formula,

[tex]V=3.14 \times (2.79^2-2.54^2) \times 121.92 cm^3=510. 12 cm^3[/tex]

Hence, the volume of metal in the conduit is 510. 12 cubic centimeters.