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
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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) (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)
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