2  +  5

2*5

25

2 5

2/5

(2/5)

2.0/5

2.000000000000000000000000/5

4*Pi/3

4 (3.14159265)/3

a  = (( 4 π)/3)

UnitSphereVolume  =  a

2 a

ANewVariable  = (2 a  +  b)^2

ANewVariable^2

b  =  ((4 (3.14159265358979))/3)

UnitSphereNumericalVolume  =  b

ANewVariable

UnitSphereVolume  -  UnitSphereNumericalVolume

a - ((4  ArcCos[-1])/3)

a  ==  ((4  ArcCos[-1])/3)

a  ==  ((4 (3.14159))/3)

Customizing How Mathematica Looks on the Screen

Style Sheets

If you have copied this Mathematica notebook off of the web, you will probably notice that it does not look the same as it did when displayed in class.
    For display in class, I have created my own StyleSheet.  You can download mine from http://pruffle.mit.edu/3.016/3016_Carter.nb .  You will probably think this style is kind of ugly.  You are probably correct, but chacun a son gout...  This style was designed so that input, output, graphics, and text have contrasting appearances.  Feel free to copy it and use it, or use it as a template to create your own style.
    
   Here is how to find where to put your stylesheet.

You can put personal files in  a personal directory

?$UserBaseDirectory

For the Machine that is running Mathematica, executing the next line will tell you where personal files can be kept.

$UserBaseDirectory

In the above directory (or folder as some people call it), you will find another directory "SystemFiles" and below that another directory called "FrontEnd" and inside that directory  is the "StyleSheets" directory(in Unix|Linux|MacosX  this would be $UserBaseDirectory/SystemFiles/FrontEnd/StyleSheets/).  Add 3016_Carter to that directory.  It should become visible under the Format menu's Style Sheet menu.  If this doesn't work for some reason, you can add the file system wide, but you might need special writing priviledges on some systems.
 To find the System's directory:

?$BaseDirectory

$BaseDirectory