1. Jeong Eun Park Cara Leong
Storage Facilities
CJ Developments
Jin Ho Lee
Dang Wan Kim
Jeong Eun Park Cara Leong
Caroline Poot

2. Our Process
Research
Consolidation
Answers

3. How many people in a family?
2.61 children born/woman (CIA World Factbook)
Round down to 2 children
Add 2 parents
Equals 4 people in a family!

4. How did we get our numbers?
Base area: π × r2
Height: Volume needed (m3) ÷ base area
Cost of metal: $ (14 × base area × height)
Volume of concrete: (radius + 0.3m)2 × 0.2m
Cost of concrete: $ (640 × volume of concrete)
Total cost: $ (Cost of metal + cost of concrete)

5. Water

6. Starting Questions How much water does each person use?
What do we use water for?
What is the best shape to store water in?

7. Answering Questions What do we use water for? Drinking Bathing
Washing (dishes, laundry)
Toilets
Cooking

8. Answering Questions How much water does an average person use?
Internet research
69.3 gallons per person for indoor purposes
laundry, shower, toilets, cooking, drinking
Convert into litres
1 gallon = litres  69.3 gallons ≈ 263 litres
Leeway: 263 ± 2 litres

9. Answering Questions What is the best shape to store water in?
Perimeter and Circumference vs. Area (of 2-D objects)
Circle vs. Square
Real life examples
A cylinder is the best shape to store water in

10. How to calculate Surface Area
Surface area of an open cylinder is calculated by:
(2πr × h) + (π × r2)
When r = radius of the cylinder’s base circle
h = the height of the cylinder r h

11. How to calculate volume
The volume of a cylinder that has a radius of r:
π × r2 × h
Since a cylinder is a prism, the volume = base area × height r h

12. Calculation Total amount of water needed for entire village:
265L × 4 people × 50 families × 14 days = L
Volume of storage tank: L of water = 742 m3
This estimation has more water capacity than is necessary because there is an extra 2 litres for every person

13. Best Choice for Water Tank
Radius (m)
Base Area (m2)
Height (m)
SA (m2)
TSA (m2)
Cost of Metal ($)
Cost of Concrete ($)
Total Cost ($) 1 3
236
1484
1487
20820
680
21500 2 13 59
742
755
10564
2127
12691 28 26
495
523
7321
4379
11700 4 50 15
371
421
5898
7435
13333 5 79 9
297
375
5255
11296
16550 6
113 7
247
360
5046
15960
21006
154
212
366
5123
21429
26552 8
201
186
387
5412
27702
33114
254
165
419
5871
34780
40651 10
314
148
463
6476
42661
49137

14. Justification
With a radius of 3m, the height of the cylinder would have to be 28m to be able to accommodate L of water
With a radius of 4m, the stability of the structure is increased and the height of the water tank is lowered to 15m

15. Justification Viability vs. Cost Amount of water used:
Is it really that good to have a 26m structure?
Is it possible to have a 26m structure that will hold its weight?
Amount of water used:
Leeway for water use of people in case they need more water
Level of Accuracy (nearest whole number):
Easier to see the difference between figures

16. Our Storage Tank Has a capacity of 742 000L
Is in the shape of a cylinder
Dimensions:
Radius: 4 metres
Height: 15 metres

17. Grain

18. Starting Questions What kind of grain are we storing?
How much grain are we putting in storage?
What kind of shape is the best for storing the grain?

19. Answering Questions What kind of grain are we storing?
Grain can be used to make many types of food
Rice, corn, oats, rye
Bread
for our purposes, we’ll pretend that we’re storing rice

20. Answering Questions How much grain are we putting in storage?
The space that the cooked rice takes up is 3-4 times the space that uncooked rice takes up
Each person eats about 300cm3 of cooked rice per meal
300cm3 of cooked rice ≈ 100cm2 of uncooked rice

21. Answering Questions What kind of shape is best for storing the grain?
Real life examples
Cylinder has the largest area for a fixed perimeter
Cylinders are also used for silos

22. Examples of Grain Storage

23. Calculation Shed has to have a volume of 0.84m3
100cm3 uncooked rice × 3 meals × 4 people × 50 families × 14 days = cm3 of uncooked rice
cm3 = 0.84m3
Shed has to have a volume of 0.84m3
round to 1m3

24. Best Choice for Grain Storage
Radius
Base Area
Height
Circumference
SA of Height
TSA
Cost of Metal
Concrete
Concrete Cost
Total Cost
0.1
0.03
31.8
0.6
20.0
280.4
64.3
345
0.2
8.0
1.3
10.0
10.1
141.8
100.5
242
0.3
3.5
1.9
6.7
6.9
97.3
144.8
0.4
0.5
2.0
2.5
5.0
5.5
77.0
197.0
274
0.8
3.1
4.0
4.8
67.0
257.4
324
1.1
0.9
3.8
3.3
4.5
62.5
325.7
388
0.7
1.5
4.4
2.9
61.6
402.1
464
63.1
486.6
550
5.7
2.2
66.7
579.1
646
1.0
6.3
5.1
72.0
679.6
752

25. Justification
With radius of 0.2 the height have to be 8 to hold 0.84m3.
To have a structure with stability have to be radius of 0.3 and height of 3.5.

26. Justification Having a same cost stability will be better.
So having lower height with longer radius is safer to hold the weight.
It has plenty of space to put in a lot of grain

27. Our Grain Silo Is cylindrical Has a capacity of 1m3 Dimensions:3 Cost:
Of metal sheet: 97.3
Of concrete: 144.8