Question

the radius of a cylindrical construction pipe is 2 ft. if the pipe is 20 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.

Explanation:

Step1: Recall Volume of Cylinder Formula

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

Step2: Identify Given Values

We know \( r = 2 \) ft, \( h = 20 \) ft, and \( \pi = 3.14 \).

Step3: Substitute Values into Formula

First, calculate \( r^2 \): \( r^2 = 2^2 = 4 \) square feet. Then, multiply by \( \pi \) and \( h \): \( V = 3.14 \times 4 \times 20 \).

Step4: Perform the Calculation

First, \( 3.14 \times 4 = 12.56 \). Then, \( 12.56 \times 20 = 251.2 \).

Step5: Round to Nearest Whole Number

Rounding \( 251.2 \) to the nearest whole number gives \( 251 \). The unit for volume of a cylinder (with linear units in feet) is cubic feet (\( \text{ft}^3 \)).

Answer:

251 cubic feet (or \( 251\ \text{ft}^3 \))