Final answer:
The volume of a pipe with a diameter of 4 feet and length of 24 feet, using the formula V = πr²h, is calculated to be 301.5936 cubic feet. The correct answer is option B).
Step-by-step explanation:
To calculate the volume of a pipe, which is a cylindrical object, we use the formula for the volume of a cylinder, V = πr²h, where 'r' is the radius of the cylinder, 'h' is the height or length of the cylinder, and π (pi) is approximately 3.1416.
In this problem, the diameter of the pipe is given as 4 feet, which means the radius 'r' is half of that, so 2 feet. The length 'h' of the pipe is 24 feet. Plugging these values into the formula:
- V = π × (2 feet)² × 24 feet
- V = 3.1416 × 4 square feet × 24 feet
- V = 3.1416 × 96 cubic feet
- V = 301.5936 cubic feet
Therefore, the correct answer is B) 301.5936 cubic feet.