SOLUTION: The volume of rubber(in cubic centimeters)in a hollow rubber ball used in raquetball is given by V=4/3 pie R^3-4/3pie r^3 where the inside radius is r centimeters and the outside r

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The volume of rubber(in cubic centimeters)in a hollow rubber ball used in raquetball is given by V=4/3 pie R^3-4/3pie r^3 where the inside radius is r centimeters and the outside r      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 81315: The volume of rubber(in cubic centimeters)in a hollow rubber ball used in raquetball is given by V=4/3 pie R^3-4/3pie r^3 where the inside radius is r centimeters and the outside radius is R centimeters
a. rewrite the formula by factoring the right hand side completely
can you please give me step by step so I know how to set this up thanks
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
V=%284%2F3%29%28pi%29R%5E3-%284%2F3%29%28pi%29r%5E3
To factor something, identify the common factors to each of the 2 terms on the right side of the eqation. The common factors are 4%2F3 and pi. Next, you can apply the distributive property to "pull out" those common factors as follows:
V=%284%2F3%29%28pi%29%28R%5E3-r%5E3%29
The right side is now in "factored" form, so you are done.
Good Luck,
tutor_paul@yahoo.com