Question

A city sewer pipe has a diameter of 6 ft and a length of 100 ft. Find the volume of the pipe use 3.14 as the approximate value of pie. The volume is (simplify your answer. Round to the nearest whole number as needed.)

Answer 1

We know that the diameter of the pipe is 6 feet.

Given that the pipe is cylindrical, we can use the following formula

$V=\pi(r)^2h$

Where the radius is half the diameter

$r=\frac{d}{2}=\frac{6ft}{2}=3ft$

In this case, the height is represented by the length of the pipe

$h=100ft$

Replacing all these values, we have

$\begin{gathered} V=3.14(3ft)^2(100ft) \\ V=2,826ft^3 \end{gathered}$

Hence, the volume of the pipe is 2,826 cubic feet, approximately.