Questions: The radius of a cylindrical construction pipe is 3 ft. If the pipe is 29 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 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 (or length) of the cylinder.

Given:

• Radius \( r = 3 \) ft
• Height \( h = 29 \) ft
• Use \( \pi = 3.14 \)

Substitute these values into the formula: \[ V = 3.14 \times (3)^2 \times 29 \]

First, calculate \( r^2 \): \[ (3)^2 = 9 \]

Next, multiply by \( \pi \): \[ 3.14 \times 9 = 28.26 \]

Finally, multiply by the height \( h \): \[ 28.26 \times 29 = 819.54 \]

Final Answer