1. The Egg Project Jessica Joo Andy Porter

2. Purpose The purpose of this project is to practice applying the equations we learned in calculus to real-life. the project let us see the accuracy of the formulas that we have learned in the class. to be familiar with the graphing calculator.

3. Material List Scissors 2pieces of graph paper A ruler 2 Easter eggs Measuring cup Large bowl Water Graphing calculator Utensils tape

4. Volume by filling the egg with water First we prepared the measuring cup and the bowl.

5. Volume by filling the egg with water Then we filled in the top and bottom part of the egg with water.

6. Volume by filing the egg with water Then we poured the water into the measuring cup.

7. Volume by filing the egg with water Water level was at 50 ml!! Because 1 ml = 1 cm 3 we concluded that the Volume of the egg is 50 cm 3.

8. Displacement First, we taped the egg to make sure the water does not get inside the egg. Then we recorded the water level before we put the egg in the water. Then we carefully placed the egg in the water.

9. Displacement Before After the water level was at 150ml, after we put the egg in the water, water level raised up to 210ml. To calculate the volume of the egg, 210 ml(after) – 150 ml(before) = 60ml Because 1 ml=1cm 3, the volume of the egg is 60cm 3.

10. Surface Area First, we prepared a scissor and a graph paper. Then we cut out the squares from the graph paper.

11. Surface Area We glued the egg surface. Then attached the squares we cut out from the graph paper. The total squares that we used to cover up the egg surface was 396. 158(bottom)+238(top)=396 A side of a square is 0.5cm. Therefore, to calculate the surface area, 0.5 X0.5X396=99cm 2.

12. Tables 1234average Displacement60ml55ml 57ml56.75ml Filling the egg with water 50ml TopBottomTotal Squares used 238158396 Surface area(cm 2 ) 59.539.599 Volume To be more accurate, we had 4 trials and calculate the average. Surface Area A side of a square is 0.5cm. To calculate the surface area, we multiplied number of squares used by 0.5X0.5.

13. First, we cut the egg in half vertically so that we can sketch the curve of the egg. We placed the egg on the graph paper and sketched it. Then we drew the y-axis and x-axis to measure the point. By using a ruler, we found out the distance of each point from the axis. Graphical Analysis

14. We put in the data into the calculator. By using Quadratic Regression, we got the equation.

15. By using a disc method, we solved the equation. To reduce the errors, we did not round up the numbers. Calculation-volume

16. Calculation- Surface Area

17. Analysis Calculations of surface area and volume were not close to our estimation. Even though we did not round up any numbers until the last step, the answer was far off from our estimation. Maybe cutting out the graph paper was ineffective way to estimate the surface area.