1. KFC’s proposal By: Yu Rim Hyung Rae Seong Min Chloe Chloe Yuan ke Yuan ke

2. Introduction For the past few weeks KFC had being aiming to design, and price, a water and grain storage facility for a village that has fifty families. For the past few weeks KFC had being aiming to design, and price, a water and grain storage facility for a village that has fifty families. The storage facility must be able to contain a two week supply of water and grain. The storage facility must be able to contain a two week supply of water and grain. The walls and roof of the facility will be made out of metal sheet that costs $14 per m2. The walls and roof of the facility will be made out of metal sheet that costs $14 per m2. The facility must be placed on a 20cm thick concrete floor. The concrete costs $640 per m3. The facility must be placed on a 20cm thick concrete floor. The concrete costs $640 per m3. We must make every effort to keep the cost as low as possible. We must make every effort to keep the cost as low as possible.

3. How many people’s in a family? Research had shown that the average population of a family is around 4 ± 1(two adults and two children) Research had shown that the average population of a family is around 4 ± 1(two adults and two children) Therefore 50x4 ±1=200±50 people are included in this 50 families Therefore 50x4 ±1=200±50 people are included in this 50 families

5. What we found out in our research? Each person needs about 117Liters Each person needs about 117Liters 50 Families would need water of 245700 Liters 50 Families would need water of 245700 Liters Activities Activities Toilet Flush(40 Liters) Toilet Flush(40 Liters) Shower(34 Liters) Shower(34 Liters) Washing Clothes(26 Liters) Washing Clothes(26 Liters) Washing Dishes(14 Liters) Washing Dishes(14 Liters) Cooking(1 Liter) Cooking(1 Liter) Drinking (2 Liters) Drinking (2 Liters) Total117 Liters Total117 Liters

6. What is it the best solution? Cylinder with Radius of 2.35meters and height of 14.2 meters, with cost of $6442.28 to build Cylinder with Radius of 2.35meters and height of 14.2 meters, with cost of $6442.28 to build

7. Why is it the best solution? 50 families would need 245700 liters for living. 50 families would need 245700 liters for living. 1 Liter is converted to 1m 3 1 Liter is converted to 1m 3 245700 Liters = 245.7m 3 245700 Liters = 245.7m 3 During research, found that larger height makes the shape to be cheaper. During research, found that larger height makes the shape to be cheaper. However, base cannot be too small and just tall, because then it will collapse very easily. However, base cannot be too small and just tall, because then it will collapse very easily.

8. How we found the solution (justification)? Deciding on which dimension is the best. (Longest height) Deciding on which dimension is the best. (Longest height) To prevent the building from falling sideways, the diameter of the base has to be 3~4 times smaller than height maximum. To prevent the building from falling sideways, the diameter of the base has to be 3~4 times smaller than height maximum.

9. Volume of cylinder = Radius 2 x π x height Volume of cylinder = Radius 2 x π x height Maximum Height = 3 x Diameter Maximum Height = 3 x Diameter Therefore, Therefore, R 2 x 2R(Diameter) x 3 x π = 245.7 R 2 x 2R(Diameter) x 3 x π = 245.7 R 2 x 6R = 78.21 R 2 x 6R = 78.21 R 2 x R = 13.03 R 2 x R = 13.03 R 3 = 13.03 R 3 = 13.03 R = 2.35 R = 2.35

10. Using the Radius, find the height. R = 2.35 π = 245.7 2.35 2 x H x π = 245.7 H = about 14.2. H = about 14.2. Calculating the Total Surface area of the cylinder without its bottom. Calculating the Total Surface area of the cylinder without its bottom. (2.35 2 xπ) + (2.35x2xπx14.2) = 227.02 (2.35 2 xπ) + (2.35x2xπx14.2) = 227.02 227.02 x 14 = Cost of the Metal Sheet 227.02 x 14 = Cost of the Metal Sheet Metal sheet cost = $3178.28 Metal sheet cost = $3178.28 Calculating the Concrete volume. Calculating the Concrete volume. Concrete would have 0.5 meters added to the original container. the concrete’s radius = 2.85 height = 0.2 Concrete would have 0.5 meters added to the original container. the concrete’s radius = 2.85 height = 0.2 Volume of concrete = 2.85 2 x π x 0.2 = 5.1 Volume of concrete = 2.85 2 x π x 0.2 = 5.1 Cost of concrete = 5.1 x 640 = $3264 Cost of concrete = 5.1 x 640 = $3264 THE TOTAL COST = $3178.28+$3264 = $6442.28 THE TOTAL COST = $3178.28+$3264 = $6442.28

12. What we found out in our research? One bowl of rice contains 150 ± 15g, a person eats about 3 bowls per day which makes it 300 ± 30g per person per day One bowl of rice contains 150 ± 15g, a person eats about 3 bowls per day which makes it 300 ± 30g per person per day 300 ±30g x200±50 people 300 ±30g x200±50 people

13. What is it the best solution?

14. Why is it the best solution?

15. How we found the solution (justification)?

16. Citation