SOLUTION: The volume of rubber in cubic centimeters is given by
V = 4 / 3 3.14 * R ^ 3 - 4 / 3 * 3.14r^3
where the inside radius is r and the outside radius is R centimeters.
a. Rewrit
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: The volume of rubber in cubic centimeters is given by
V = 4 / 3 3.14 * R ^ 3 - 4 / 3 * 3.14r^3
where the inside radius is r and the outside radius is R centimeters.
a. Rewrit
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Question 299809: The volume of rubber in cubic centimeters is given by
V = 4 / 3 3.14 * R ^ 3 - 4 / 3 * 3.14r^3
where the inside radius is r and the outside radius is R centimeters.
a. Rewrite the formula by factoring the right-hand side completely.
Again i am so confused on this how would i do this?
You can put this solution on YOUR website! The volume of rubber in cubic centimeters is given by
V = 4 / 3 3.14 * R ^ 3 - 4 / 3 * 3.14r^3
where the inside radius is r and the outside radius is R centimeters.
a. Rewrite the formula by factoring the right-hand side completely.
Again i am so confused on this how would i do this?
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This is the calculation of the amount of rubber in, for example, a tennis ball.
R = the outside radius, r = the inside radius
The inside volume is air, so the amount of rubber is the overall volume of the ball minus the volume of the air inside it. The remainder is rubber (ignoring the fuzz part). A basketball might be a better example, but the calculations are the same.
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Some terms can be factored out, for whatever reason.
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That does reduce the amount of arithmetic.
R^3 - r^3 can be factored, but it makes things worse, imo.
I see no advantage to that.
