Question

the diameter of a cylindrical construction pipe is 7 ft. if the pipe is 34 ft long, what is its volume? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer. image of a cylinder with diameter 7 ft and length 34 ft input box units: ft, ft², ft³

Explanation:

Step1: Find the radius of the cylinder

The diameter is 7 ft, so the radius \( r = \frac{7}{2} = 3.5 \) ft.

Step2: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height (or length in this case).

Step3: Substitute the values into the formula

We know \( \pi = 3.14 \), \( r = 3.5 \) ft, and \( h = 34 \) ft. So,
\[

$$\begin{align*} V&= 3.14\times(3.5)^2\times34\\ &= 3.14\times12.25\times34\\ &= 38.465\times34\\ &= 1307.81 \end{align*}$$

\]

Step4: Round to the nearest whole number

Rounding 1307.81 to the nearest whole number gives 1308. The unit for volume of a cylinder is cubic feet (\( ft^3 \)).

Answer:

1308 \( ft^3 \)