How many gallons can 5,000 feet of 18-inch water pipe hold?

To determine how many gallons a given length of water pipe can hold, you can use the formula for the volume of a cylinder, since pipes are cylindrical in shape. The formula is:

[ \text{Volume} = \pi \times r^2 \times h ]

where:

• ( \pi ) is a constant approximately equal to 3.14159,

• ( r ) is the radius of the pipe,

• ( h ) is the height (or length) of the pipe.

In this case, you are working with an 18-inch diameter pipe. First, convert the diameter to feet because the final volume needs to be in gallons. The diameter of 18 inches is equivalent to 1.5 feet (as there are 12 inches in a foot). Therefore, the radius ( r ) would be half of that:

[ r = \frac{1.5 \text{ feet}}{2} = 0.75 \text{ feet} ]

Now, the height ( h ) of the pipe is given as 5,000 feet. Now, plug these values into the volume formula:

[ \text{Volume} = \pi \times (0.75)^