1. How many gallons does a 400 foot long section of 24-inch pipe hold?

2. The distribution system has 3 storage tanks. Each tank is 50 feet square and 30 feet deep. What is the maximum storage volume of the distribution system in gallons?

3. Find the perimeter of a circular sedimentation basin if the basin is 30 feet in diameter.

4. A 24 foot diameter tank has a conical bottom. The sidewater depth (top of cone to water surface level) is 20 feet. The cone is 6 feet deep at its deepest point. What is the volume of the cone in cubic feet?

5. A tank holds 500 gallons. A pump is used to fill the tank at a rate of 25 gpm. How long will it take to fill the tank?

Answers:

1.  Convert inches to feet = (24 in) / (12 in/ft) = 2 feet
Find Radius = (2 ft) / 2 = 1 ft
0.785 X diameter X diameter X length OR 3.14 X radius X radius X Length
0.785 X 2 ft X 2 ft X 400 ft OR 3.14 X 1 ft X 1 ft X 400 ft
= 1,256 cuft X 7.48 gal/cuft = 9,395 gal

2. Length X Width X Depth = Cubic feet or Cuft or FT3
50 ft X 50 f0 X 30 ft = 75,000 cuft
75,000 cuft X 7.48 gal/cuft = 561,000 gal
561,000 gal X 3 tanks = 1,683,000 gal

3. Perimeter = Circumference OR 3.14 X Diameter
3.14 X 30 ft = 94.2 ft

4. Find Volume of Top = (0.785 X D X D X H) OR (3.14 X R X R X H)
0.785 X 24 ft X 24 ft X 20 ft = 9043.2 cuft OR 3.14 X 12 ft X 12 ft X 20 ft = 9043.2 cuft
Find Volume of Bottom = (0.785 X D X D X H) / (3) OR (3.14 X R X R X H) / (3)
(0.785 X 24 ft X 24 ft X 6 ft) / (3) = 904.3 cuft OR (3.14 X 12 ft X 12 ft X 6 ft) / (3)
Now add the two together to get the entire tank = 9043.2 cuft + 904.3 cuft = 9,947.5 cuft

5. (Volume, gal) / (Flow, gal) = (500 gal) / (25 gpm) = 20 min