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(6103) About Me  (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, V+=+%284%2F3%29%28pi%29r%5E2+-+%284%2F3%29%28pi%29r%5E2 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:
V+=+%284%2F3%29%28pi%29R%5E3+-+%284%2F3%29%28pi%29r%5E3 where: R is the outside radius and r is the inside radius.
a) Rewrite by factoring the right sides.
V+=+%284%2F3%29%28pi%29%28R%5E3+-+r%5E3%29
b) I don't see your graph but if I graph V+=+%284%2F3%29%28pi%29%28R%5E3+-+27%29...the 27 comes from inside radius of r = 3 cm but it's r%5E3 in the formula:r%5E3+=+3%5E3 = 27
graph%28300%2C200%2C-5%2C5%2C-120%2C130%2C%284%2F3%29%283.14%29%28x%5E3-27%29%29
It's a little hard to tell from this graph but when V = 100, then R = 3.7 cm