Wednesday, April 23, 2014

Coke Can Math Problem One -- Surface Area.

What is the surface area of a Coke can?   (The Coke can is cylindrical, has a base of 2.5 inches in diameter, and is 4.8 inches long.)

The surface area of a cylinder is

A=2 x PI x R x H + 2 x pi x R2

This is intuitive because the first term is the surface area of the side of the can while the second term is the surface of both the bottom and top of the can. 

Will convert dimensions of can to millimeters by noting that 1inch is 25.4 millimeters.

The radius of the can is half the diameter or 1.25.

The calculations are presented below.


Coke Can Surface Area 
 Calculation
pi
3.142
Radius of Top In Inches
1.25
Height of Can inches
4.8
Radius in Centimeters
3.2
Height In centimeters
12.2
Surface area of side of cylinder
in square centimeters
243.2
Surface area of bottom and top
 in square centimeters
63.3
Total surface area of the can
306.6

Errors are always possible.  Please confirm this is correct.


List of Coke Can Questions Can be found at link below.



http://fractiontips.blogspot.com/2014/04/coke-can-math.html

More to follow.  (Also if readers would like to publish answers to other Coke Can Math Problems I will be happy to publish.  E-mail me at bernstein.book1958@gmail.com




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