Van
Dosselaer Elsje
May
30rd, 2000
Bier met liefde gebrouwen,
Beer
brewed with love,

Circumference =
2pr 
Height (cm) 
circumference/2p 
0,0 
0,0 
0,00 
8,7 
0,3 
1,30 
16,6 
1,0 
2,75 
22,6 
2,0 
3,55 
26,4 
3,0 
4,15 
29,8 
4,0 
4,65 
32,0 
5,0 
5,00 
33,3 
6,0 
5,10 
32,0 
7,0 
5,00 
30,0 
8,0 
4,70 
27,3 
8,7 
4,35 
4. Calculations made with the graphical calculator TI83
a. Determination of the regression function
:
*
with quartic regression
* with
Ln regression
(starting from h = 0.1 with r = 0.1)
less correlation ! 
b.
Calculations to find the max inner volume of the glass
and the solution of
other related problems
* total inner volume of the glass
and I = p*fn Int ( Y1
,X, 0, 8.7)
gives
508.0325031 (in cm
) starting from the
quartic regression
Starting
from
Y2 = p*fn
Int ( Y1
, X, 0,
X)
we find with SOLVE(Y2 –
254.0162516,X, 4, {3,8}) that the
glass must be filled up
to
5,368351905
cm height to obtain half of the maximum volume
* how many glasses, filled up to 90%, can one get out of a Magnum
bottle (1,5 l) ?
90 % of the max inner volume
is 508,0325031 cm
x 0,90 = 457,2292528 cm
Thus approximately 3,28
(1500 / 457,2292528) glasses, filled up to 90% of the inner volume
of the Leffe glass, can one get out of the Magnum bottle.