SOLUTION: In this problem use the metric system. Suppose an aluminium can must hold 440 cubic centimeters (about a typical soda can). A company that sells soft drinks wants to design a can

Algebra ->  Volume -> SOLUTION: In this problem use the metric system. Suppose an aluminium can must hold 440 cubic centimeters (about a typical soda can). A company that sells soft drinks wants to design a can      Log On


   

Question 1100568: In this problem use the metric system. Suppose an aluminium can must hold 440 cubic
centimeters (about a typical soda can). A company that sells soft drinks wants to design
a can so that it minimizes the amount of aluminium used. What are the dimensions
of a can (in the shape of a cylinder) that minimizes the amount of aluminium used,
while still holding 440 cubic centimeters of drink? (Hint: Use a table to approximate
the dimensions. There are two variables to consider – the height and the radius of the
circular base.)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem use the metric system. Suppose an aluminium can must hold 440 cubic
centimeters (about a typical soda can). A company that sells soft drinks wants to design
a can so that it minimizes the amount of aluminium used. What are the dimensions
of a can (in the shape of a cylinder) that minimizes the amount of aluminium used,
while still holding 440 cubic centimeters of drink? (Hint: Use a table to approximate
the dimensions. There are two variables to consider – the height and the radius of the
circular base.)
----
Volume = base*height = (pi*r^2)(height) =
------
Divide V by pi = 440/pi = 140.06
------
Choose d and h so r^2*h <= 140.06
Let r^2 = 11.86 ; Let height = 11.86
-----
Not sure what method you should to find
the minimum dimensions.
----
Cheers,
Stan H.
------------