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Math Help - Volume of Spheroid

  1. #1
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    Volume of Spheroid

    Find the volume of the spheroid formed by the revolution of the area bounded by the ellipse x^2/(a^2)+ y^2/(b^2)=1 about the major axis a.

    Kindly Help!

    Thanks in advance!
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  2. #2
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    Re: Volume of Spheroid

    Quote Originally Posted by aqualibra86 View Post
    Find the volume of the spheroid formed by the revolution of the area bounded by the ellipse x^2/(a^2)+ y^2/(b^2)=1 about the major axis a.

    Kindly Help!

    Thanks in advance!
    1. The axis a is placed on the x-axis.
    A rotation volume with the x-axis as axis of rotation is calculated by: V_{rotx} = \int (\pi \cdot y^2)dx

    2. Since you need y solve the equation of the ellips for y and use the formula from #1. The bounds of the integral are -a and a. (Why?)
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  3. #3
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    Re: Volume of Spheroid

    I have did in this way and get V=4/3 (pi) a b^2, just need to know that if this is correct answer .. ?
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  4. #4
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    Re: Volume of Spheroid

    Quote Originally Posted by aqualibra86 View Post
    I have did in this way and get V=4/3 (pi) a b^2, just need to know that if this is correct answer .. ?
    Correct!
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  5. #5
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    Re: Volume of Spheroid

    Thanks alot!
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