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Math Help - Volume of a Surface of Revolution

  1. #1
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    Volume of a Surface of Revolution

    I am working on a problem and wanted to confirm the result I got:

    The function f(x) = (3/50)x^5 bounded by x=2 revolved about the y-axis.

    I set up the integral as follows:

    \int ^{48/25} _{0} \pi {\left(  {\left( \frac{50}{3 }\right)}^{\frac{1}{5 }}  {y}^{\frac{1}{5 }  }\right)} ^{2 } dy

    My answer is:

    \frac{192}{ 35}\pi

    Did I get it right?
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  2. #2
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    Quote Originally Posted by onlinemathstudent View Post
    I am working on a problem and wanted to confirm the result I got:

    The function f(x) = (3/50)x^5 bounded by x=2 revolved about the y-axis.

    I set up the integral as follows:

    \int ^{48/25} _{0} \pi {\left(  {\left( \frac{50}{3 }\right)}^{\frac{1}{5 }}  {y}^{\frac{1}{5 }  }\right)} ^{2 } dy

    My answer is:

    \frac{192}{ 35}\pi

    Did I get it right?
    Apparently, you did.
    Follow Math Help Forum on Facebook and Google+

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