Chapter 2 Exercises

Steven Quevedo

GS1140 Problem Solving

Itt Tech

Asad Bhatti

06/28/12

Question 2.1: from the tables on pages 14 and 15 I feel I possess the attitude characteristic the most. I never give up on anything because I have the mentality that everything can be done when one applies themselves.
The characteristic I lack in is Action Because I never reread a problem and I don’t second guess myself I don’t draw or make equations to help me and I never seem to be able to re phrase a question that I don’t understand in the format its given to me in the first place.

Question 2.4: from Einstein theory of relativity changed the way the scientist looked at mass, energy, time and space this is the best example I can think of when I think of a Paradigm Shift

Question 2.6: After establishing the 4 people that I have the most interaction with I came to a conclusion that to create a more creative environment I would ask a daily what If this happen today to see what kind of response would get. Due to the immature group of friends I have the questions had to be a bit drastic and theme based Example: Zombies attacking, if the swat came down on us, we had a super powers. This did help stimulate the groups minds but it also made for very childlike answers but it also showed me those who would be leaders and the different characteristics everyone would show during these events.

Question 2.7:
A: I would kindly ask if others had any suggestions as to not hurt feeling but make sure I can get the point that I want others involved across.
B: I would do nothing about that most of the time when you’re around friends your more open and are willing to participate if you know at least 1 person.
C: I would make sure that I point that out immediately to not waste more time of course in private because otherwise they would think I’m trying to make them look bad and it would cause a bigger problem then I originally had.
D:I would partner them with another member most likely myself or the most proactive member to aid them but make sure they don’t feel left out unlike if I just removed them from the part they are doing.

Question 2.10:
How many jelly beans would fit in a 1 gallon jug 11in in height 6in in diameter?
This is a fun problem that can prove useful in improving my grade and knowledge of jelly beans
What is the volume of the gallon, what the volume of the jelly beans is and what is the amount that could fit inside (Keeping in mind the space left between each on since they are not blocks)
I will Assume they are a perfect sphere shapes

11 in
11 in
6 in

6 in

Gallon: Height (H=11in) and Diameter (D=6in)
Jelly bean Diameter (D=0.5in)

Unknown: the space taken up by jelly beans inside a full gallon (not factoring in the empty space in between)
Volume of Gallon: π (D2 / 4) H = 3.1416 (62/4)11=311in3
Volume of a Jelly bean: π (D3 / 6) = 3.1416 (0.53/6) = 0.0654in3
Solid fraction of packed spheres ~0.65
Volume of Beans= (Jar Volume) x (Solid Fraction)= 311 x 0.65= 202.15 in3
Number of Beans= (Volume of Beans)/(Volume of one bean)= (202.15 in3)/(0.0654 in3 per bean) = 3086 Beans in the jar
If Beans where cylinder shaped
Beans new dimensions are (D=0.5 in) (H=0.5 in)
New Algorithm
Volume of one Jelly bean = π (D2/ 4) × H = 3.1416 × (0.52/4) × 0.5 = 0.0982 in3
Solid fraction of packed Cylinders ~0.67 Volume of beans = (Jar volume) x (Solid Fraction) = 311 x 0.67= 208.37 in3 Number Of beans = (Volume of Beans)/ (Volume of one bean)= (208.37 in3)/(0.0982 in3) = 2121 beans are in the Gallon The Real Number is between both of these answers