lollipop problem how many licks? created by, moiz and michelle
TRANSCRIPT
Lollipop Problem
How many Licks?
Created By,
Moiz and Michelle
A.K.AA.K.A
Hansel and Gretel
•17 years old
•Plans to major in Computer Science, and transfer to U.C. Berkeley
•Hobbies include tennis & table-tennis !
•Works at Target
•Loves Math…just kidding!
Age : 18Ethnicity: Nicaraguan
Hobbies: Video games, reading, and sleepingMajor: Engineering
…Zzzz
You know she’s on
Myspace…
Lab Project Story:
Once upon a Once upon a time, time,
in a small town in a small town named named
Brentwood, Brentwood, a commercial a commercial
was made.was made.
This commercial advertised Tootsie Roll pops and
challenged young audiences to figure out the amount of licks it takes to get to the
center. A couple of Math 50 students named Hansel and
Gretel, however, took the challenge seriously. “How many licks DOES it take to
get to the Tootsie Roll center of a Tootsie Pop?” they
questioned.
Knowing that it would take too long to count each and every single lick, they decided to estimate and use...
They came up with this plan: Step 1: Determine initial radius of Tootsie
Roll Pop by assuming it’s a perfect sphere.
Step 2: Place in mouth and suck for 30 seconds.
Step 3: Measure radius and record. Step 4: Repeat steps 2 and 3 till center is
reached.
CALCULUS
Procedure:Procedure:How They Did it:How They Did it:
Used string (dental floss) to measure Used string (dental floss) to measure the circumference of Tootsie Roll Pop the circumference of Tootsie Roll Pop and to therefore find the radius and to therefore find the radius using the equation C = 2using the equation C = 2ππr.r.After finding the radius we use the After finding the radius we use the equation V = (4/3)equation V = (4/3)ππrr33
Difficulties:Difficulties:Tootsie Roll Pop became increasingly Tootsie Roll Pop became increasingly complicated to measure using the complicated to measure using the string because it slipped as a result string because it slipped as a result of the saliva. of the saliva. Sucking on the pop tired mouth Sucking on the pop tired mouth muscles, caused hunger and made it muscles, caused hunger and made it hard to resist the urge to bite.hard to resist the urge to bite.
Time (seconds) 0 30 60 90 120 150 180 210
Circumference
(millimeters)
88 87.5 87.0 86.0 83.5 81.0 80.0 79.0
Time (seconds) 240 270 300 330 360 390 420 450
Circumference
(millimeters)
76.0 75.0 72.5 71.0 68.0 66.5 64.0 63.0
The Table
Time (sec) 0 30 60 90 120 150 180 210
Radius
(mm)
14.006
13.926
13.846
13.687
13.289
12.892
12.732
12.573
Volume
(mm3
)11,508.82
11,312.74
11,118.89
10,740.23
9,830.27
8,975.31
8,645.27
8,325.40
Time (sec)
240 270 300 330 360 390 420450
Radius
(mm)
12.096
11.937
11.539
11.300
10.823
10.584
10.186
10.027
Volume
(mm3
)7,413.
347,124.
826,435.
666,043.
995,310.
454,966.
364,426.
904,222.
81
The EndThe End