Monday, December 16, 2013

How do you come to this result, my final amount comes to 11701.2728 cm3 instead? Where am I going wrong? Thanks

To determine the capacity of the
beer jug, we'll have to compute the volume of the conical
frustum:



, where r1 is the radius of top diameter and r2 is the radius of bottom
diameter.


We'll
calculate the radii r1 and
r2:


r1 =
14.6/2


r1
= 7.3
cm


r2 =
12/2


r2 =
6 cm


The
height of the conical frustum is: h = 28
cm.


Now,
we'll calculate the
volume:





Now,
we'll convert cube centimeters in
liters.


We
know that 1 cubic centimeter = 0.001 liters, therefore the liter capacity of the beer
jug is of 1.242173
liters.



The original
answer of 1.242173 liters appears to contain an arithmetic
mistake.


`(28*pi*(7.3^2+6^2+7.6*6))/(3)=(28*pi*133.09)/(3)`


If
you do not round pi you will get 11707.2078555/3=3902.4 cm^3
If you round pi
to 3.14 you will get 11701.2728/3= 3900.4 cm^3


so the
answer should be approximately 3.9 liters.

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