SOLUTION: Racquetball. The volume if rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by
V=4/3 pie r ^3 – 4/3 pie r^3
Where the inside radius is r centim
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Question 57756: Racquetball. The volume if rubber (in cubic centimeters) in a hollow rubber ball used in racquetball is given by
V=4/3 pie r ^3 – 4/3 pie r^3
Where the inside radius is r centimeters and the outside radius is r centimeters.
a. Rewrite the formula by factoring the right side completely.
b. The accompany graph shows the relationship between r and v when r = 3. Use the graph to estimate the value of r for which v = 100cm^3
Graph shows
An arch with one point at 3 inside radius centimeters and the other point is at approximately 140 volume cm^3
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Hint:
When writing formulas containing duplicate copies of the same letter of the alphabet, such as your formula for the volume, you must use upper and lower case letters to distinguish between the two variables, otherwise, one cannot make much sense out of the formula. Her's how it should appear:
where: R is the outside radius and r is the inside radius.
a) Rewrite by factoring the right sides.
b) I don't see your graph but if I graph ...the 27 comes from inside radius of r = 3 cm but it's in the formula: =
It's a little hard to tell from this graph but when V = 100, then R = 3.7 cm
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