Question

What is the volume of the metal in this heavy-duty pipe? (It is not drawn to scale and the inside of the pipe is empty space.) Show all work and be sure to label your answer. Use 3.14 to estimate pi.

Answer 1

The volume of the pipe is about 282.6 cubic feet.

First, we need to find the area of each circular cross section and subtract them to find the width of the pipe. The area of a circle is pi(r^2).

pi(3^2) - pi(2^2)
28.26 - 12.56 = 15.7

The width of the pipe is 15.7. Now, multiply that by 18 to find the volume.
15.7 x 18 = 282.6