How many gallons are required to run a 4" plunger for a distance of 25 feet?

To determine how many gallons are required to run a 4-inch plunger for a distance of 25 feet, we need to calculate the volume of water displaced by the plunger over that distance.

First, we need to find out the volume per foot that a 4-inch plunger displaces. The plunger's diameter is given as 4 inches, which gives it a radius of 2 inches (since radius is half the diameter). To find the cross-sectional area of the plunger, we use the formula for the area of a circle:

[

\text{Area} = \pi r^2

]

Converting inches to feet (since 1 foot = 12 inches), the radius in feet is:

[

r = \frac{2 \text{ inches}}{12} = \frac{1}{6} \text{ feet}

]

Calculating the area:

[

\text{Area} = \pi \left(\frac{1}{6}\right)^2 = \pi \left(\frac{1}{36}\right) \approx 0.0873 \text{ square feet}

]

Now, to find the volume displaced when running the plunger for a