How many gallons of water can be expected from draining a 75-foot long pipe with a diameter of 12 inches?

To find the volume of water that can be expected from draining a 75-foot long pipe with a diameter of 12 inches, it's important to first convert the measurements into a consistent unit and then use the formula for the volume of a cylinder, which is given by the formula:

Volume = π * r² * h

In this case, the height (h) is the length of the pipe, which is 75 feet. We need to convert the diameter into radius and also convert feet to inches for consistency, since the diameter is given in inches. The radius is half of the diameter, so it would be 6 inches (12 inches / 2).

Next, we convert 75 feet to inches:

75 feet × 12 inches/foot = 900 inches

Now we can plug the values into the volume formula:

1. Convert the radius into feet (since we calculated the length in feet):

Radius = 6 inches = 0.5 feet

2. Now calculate the volume:

Volume = π * (0.5 feet)² * 75 feet

= π * 0.25 feet² * 75 feet

= π * 18.75 cubic feet

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