**PROBLEM: Volume of a Can**

What is the volume of a 12 ounce can?

**This was easy to start out with the
volume of a circular cylinder.**

In other words, how may cubic inches in a 12 oz can? Make a guess. Measure the radius and height of a soda can and compute an estimate.

**Alright taking a guess, I first came
up with the the measurements of the can itself, although just
from looking at the can, anyone can see that its shape is not
regular...in fact, it has a partial sphere shape at the end or
bottom of the can (as if someone purposefully put a ball at the
bottom to make my life harder). The top is also a bit rounded
and the soda does not even reach the very top of the can. So it
is debatable as to whether I am actually measuring the volume
of what the can CAN hold and what the can ACTUALLY holds. **

**I started with the measurement of
a can of my Canada Dry. (I love ginger ale!)**

**The diameter (and radius), height,
and the circumference are given below:**

**Now if I plug my numbers into my equation
from above, I get:**

**But still, remember we said that the
Canada Dry can's contents contain the ginger ale that does not
fill to the top of the can and the can itself is not a true cylinder,
therefore, we must find the actual measures of the top and bottom
of the can as well as the actual radius by measuring off the circumference
with a piece of string and measuring it against a ruler or in
my case, a yard stick. **

**Once I measured the can's circumference,
I got about 8.7 inches, so my radius would be **

**Now when we plug r into the volume
equation, we get:**

**The top and bottom of the can seem
harder to deal with, but I just measured the bottom of the can
with a string again and I got right at .38 inch, and then I measured
the top of the can and got about .125 inch. Shae was saying that
since the can was shaped the way it was, we had to take the "whole"
can into consideration. We, therefore, had to consider taking
an inch or two off the height due to this wonderful way the can
was created and we had to keep in mind that the can's top and
bottom also had very small circular cylinders within them. So,
here, take a inch or two off the height. **

**I would probably estimate that if
we were to take an inch off the height, then the volume of the 12 ounce
can would be:**

**I would probably estimate that if
we were to take two inches off the height, then the volume of the 12 ounce
can would be:**

**Now we take all our data and just
average them out to get a close approximation of the volume of
a 12 ounce can:**

Vol of 12 oz Can =23.3425 cubic inches |

How many cubic centimeters are in a 12 ounce can?