<PRE><B>Question 43344</B>
Raquietball. The volume of rubber(in cubic centimeters) in a hollow rubber ball used the racquetball is given by V = 4/3 pie R to the third power - 4/3 pie r to the third power. where the inside radius is r centimeters and the outside radius ir R centimeters.
a) Rewrite the formula by factoring the right-hand side compeletely.
b) The accompanying graph shows the relationship between r and V when R=3. Use the graph to estimate the value of r for which V=100 cm cubed.

Volume of the rubber = (4/3)(pi)(R^3-r^3)

100 = (4/3)(pi)(27-r^3)
300/(4pi)=27-r^3
23.87=27-r^3
r^3=3.12675...
r=1.462 cm 
Cheers,
stan H.

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