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

Monday, December 16, 2013

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.

$\displaystyle\frac{{{28}\cdot\pi\cdot{\left({{7.3}}^{{2}}+{{6}}^{{2}}+{7.6}\cdot{6}\right)}}}{{{3}}}=\frac{{{28}\cdot\pi\cdot{133.09}}}{{{3}}}$

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.

Notes