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- Jan 26, 2012
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Thank you to MarkFL for this problem! It does require calculus so this week will be for upperclassmen in secondary school who are taking calculus.
What condition must hold on $\displaystyle a$ and $\displaystyle b$ so that the area bounded by the $\displaystyle x$-axis and the parabola $\displaystyle y=ax(b-x)$ which is revolved separately about both axes, will have equivalent resulting volumes.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
What condition must hold on $\displaystyle a$ and $\displaystyle b$ so that the area bounded by the $\displaystyle x$-axis and the parabola $\displaystyle y=ax(b-x)$ which is revolved separately about both axes, will have equivalent resulting volumes.
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Remember to read the POTW submission guidelines to find out how to submit your answers!