1. Find the volume, in gallons, of a tank that has a diameter of 27.4 feet and a depth of 11 feet.
2. Find the volume, in gallons, of a tank – diameter of 120 inches and a depth of 180 inches.
3. Find the volume, in gallons, of a tank with a side length of 50 feet another side length of 12 feet and a side wall depth of 11 feet.
4. Find the volume, in gallons, of a tank that is 80 feet long, 20 feet wide and 10 feet deep.
5. Find the volume, in gallons of a tank 97.2 feet long, 10.5 feet wide and has a wet water depth of 10.5 feet.
1. 4891 gallons
It is a circular clarifier (when given a radius or diameter that is our clue) – draw your circle and name your parts – next write your Volume formula = 3.14 X R, ft X R, ft X Depth, ft Now find the RADIUS from the DIAMETER –
(27.5)/(2)= = 13.75 feet Now complete your formula: 3.14 X 13.7 ft X 13.7 ft X 11 ft = 6482.8126 cuft, but we aren’t done now we need to go from cubic feet to gallons. To do this we will multiply by 7.48 gal/cuft or 6482.8126 cuft X 7.48 gal/cuft =
2. 8808 gal
Need to convert from inches to feet for the numbers = (120 in)/(12 in/ft) = 10 ft and (180 in)/(12 in/ft) = 15 ft, now draw that circle, name your parts and write out your formula for Volume = 3.14 X R, ft, X R, ft X Depth, ft, can’t use diameter must use radius (10 ft)/(2) = 5 ft, 3.14 X 5 ft X 5 ft X 15 ft = 1177.5 cuft, now find gallons = 1177.5 cuft X 7.48 gal/cuft =
3. 49,368 gal
When we see length or width we know we are dealing with a rectangular tank and the formula for Volume, cuft = L, ft X W, ft X Height. ft = 15 ft X 12 ft X 11 ft = 1980 cuft, now find the volume in gallons using 7.48 gal/cuft = 1980 cuft X 7.48 gal/cuft =
4. 119,680 gal
Again, a rectangular tank so the formula is L, ft X W, ft X H, ft = 80 ft X 20 ft X 10 ft= 16000 cuft but we need gallons so we aren’t done, need to multiply by 7.48 gal/cuft or
16000 cuft X 7.48 gal/cuft =
5. 80158 gal
Formula = L’ X W’ X D’ = 97.2′ X 10.5′ X 10.5′ = 10716.3 X 7.48 gal/cuft =
NOTE: For those who took the class or use the Conversion boxes – once you find Cuft or CFT you will be on the top row and you need to go from a small box to a large box – so you multiply and the number in the way is 7.48 gal/cuft