Question

Determine the lateral area of a pipe that is 12 ft long and 25 ft in diameter.

Answer 1

Answer:

The lateral area of the pipe is 942 sq ft.

Step-by-step explanation:

A pipe can be modeled as a cylinder prism.

The lateral area of a cylinder prism can be expressed as the product of the length by the perimeter of the section.

We start by calculating this perimeter.

As the diameter is 25 ft, the perimeter of the section can be expressed as:

$P=\pi D=3.14\cdot 25=78.5$

Then, to know the lateral surface we multiply this perimeter by the length of the pipe (12 ft):

$A=P\cdot l=78.5\,ft\cdot 12\,ft=942\,ft^2$

The lateral area of the pipe is 942 sq ft.