Question

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? ...?

Answer 1

Answer:
`510. 12 cm^3`

The volume of a cylindrical conduit,
`V=\pi (r_2^2-r_1^2) h`

where
`r_1` is the inner radius,
`r_2` is the outer radius, h is the length.

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

length of the conduit,
`h=4 ft=4* 30.48 cm=121.92 cm`

outer radius,
`r_1=2.2/2 in =1.1 in= 1.1* 2.54 cm=2.79 cm`

inner radius,
`r_1=2/2 in =1 in= 2.54 cm`

Insert the values in the volume formula,

`V=3.14 * (2.79^2-2.54^2) * 121.92 cm^3=510. 12 cm^3`

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