SOLUTION: Racquetball. The volume of rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by V = 4/3 ∏ R3 – 4/3 ∏ r3 Where the inside radius is

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Racquetball. The volume of rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by V = 4/3 ∏ R3 – 4/3 ∏ r3 Where the inside radius is      Log On


   



Question 40241: Racquetball.
The volume of rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by
V = 4/3 ∏ R3 – 4/3 ∏ r3
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.
b) The accompanying graph (in the text) shows the relationship between r and V when R = 3. Use the graph to estimate the value of r for which V = 100 cm3.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well I cannot manage the graphing part here but the factoring goes like this...
4/3(pi)R^3 - 4/3(pi)r^3 =
(4/3)(pi)(R^3 - r^3) =
(4/3)(pi)(R - r)(R^2 + Rr + r^2)