Questions: The diameter of a cylindrical construction pipe is 7 ft. If the pipe is 39 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.

Solution Steps

The diameter of the cylindrical pipe is given as 7 ft, and the length (height) of the pipe is 39 ft.

The radius (r) is half of the diameter. \[ r = \frac{7}{2} = 3.5 \text{ ft} \]

The volume (V) of a cylinder is given by the formula: \[ V = \pi r^2 h \] where \( r \) is the radius and \( h \) is the height.

\[ V = \pi (3.5)^2 (39) \]

First, calculate \( (3.5)^2 \): \[ (3.5)^2 = 12.25 \]

Then, multiply by the height (39): \[ 12.25 \times 39 = 477.75 \]

Finally, multiply by \( \pi \) (use 3.14 for \(\pi\)): \[ V = 3.14 \times 477.75 \approx 1500.15 \]

Final Answer