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Math Help - formulas and solving equations

  1. #1
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    formulas and solving equations

    please help with finding the volume of a cone.

    how can i rearrange formula for r in terms of v and h

    no good at trigonometry. anybody help with simple explanations
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  2. #2
    MHF Contributor red_dog's Avatar
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    \displaystyle V=\frac{\pi r^2h}{3}
    Now solve for r
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  3. #3
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    Quote Originally Posted by red_dog View Post
    \displaystyle V=\frac{\pi r^2h}{3}
    Now solve for r
    thanks red dog but can you simplify it. my old brain doesnt understand the lingo
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  4. #4
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    Quote Originally Posted by bobbie bruce View Post
    please help with finding the volume of a cone.

    how can i rearrange formula for r in terms of v and h

    no good at trigonometry. anybody help with simple explanations
    Hello,

    I start at: V_{cone}=\frac{1}{3} \cdot \pi \cdot r^2 \cdot h

    Multiply both sides by 3:

    3V = \pi \cdot r^2 \cdot h Divide by (\pi  \cdot h) :

    \frac{3V}{\pi \cdot h} = r^2 Calculate the square-root:

    \sqrt{\frac{3V}{\pi \cdot h}} = r ... and here you are.
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