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Thread: 3 quick problems involving related formulas.

  1. #1
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    3 quick problems involving related formulas.

    The main problem I am having with these is that when I replace one variable with another variable, I introduce other variables, values for which I cannot solve! The links to the images are below.
    https://scrn.li/2J5l5X0cX7z1Y7
    https://scrn.li/XrAH6lKvW7Zf6x
    https://scrn.li/xGjxwh2PC8As31
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  2. #2
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    Re: 3 quick problems involving related formulas.



    note that $|BP| = 9-x$

    determine $|AP|$ in terms of $x$ using Pythagoras

    finally, note that time = distance/rate





    let $r$ be the large cone radius

    using similar triangles

    $\dfrac{2}{h-7} = \dfrac{r-2}{7} \implies r = \dfrac{2h}{h-7}$

    finally, note volume of a cone is $V = \dfrac{\pi}{3}r^2 h$

    what now?




    $r = \dfrac{h}{15} \implies h = 15r$

    finish it
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    Re: 3 quick problems involving related formulas.

    Thank you profusely!
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