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Math Help - Write An Equation

  1. #1
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    Write An Equation

    The volume of any spherical balloon can be found by using the formula V = (4/3) (pi)(r^3).

    Write an equation for r in terms of V and pi.
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  2. #2
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    Quote Originally Posted by magentarita View Post
    The volume of any spherical balloon can be found by using the formula V = (4/3) (pi)(r^3).

    Write an equation for r in terms of V and pi.
    Hello again,

    V=\frac{4}{3}\pi r^3

    Multiply both sides by 3

    3V=4\pi r^3

    Divide by 4 \pi

    \frac{3V}{4 \pi}=r^3

    Take cube root of both sides and use symmetric property of equality

    r=\sqrt[3]{\frac{3V}{4 \pi}}
    Last edited by masters; December 1st 2008 at 05:21 AM.
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  3. #3
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    ok..........

    Quote Originally Posted by masters View Post
    Hello again,

    V=\frac{4}{3}\pi r^3

    Multiply both sides by 3

    3V=4\pi r^3

    Divide by 4 \pi

    \frac{3V}{4 \pi}=r^3

    Take cube root of both sides and use reflexive property of equality

    r=\sqrt[3]{\frac{3V}{4 \pi}}
    Well-done as usual.
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