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Math Help - Calculate the volume of solid that lies between planes perpendicular to the x-axis

  1. #1
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    Calculate the volume of solid that lies between planes perpendicular to the x-axis

    Calculate the volume of solid that lies between planes perpendicular to the x-axis at x=0, and x=2 . The cross sections perpendicular to the x-axis are circular discs with diameters running from the x-axis up to the parabola y = sqrt(5) x^2

    please show the steps, thankx
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  2. #2
    Member
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    Feb 2010
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    Hello,

    If I have understood your question correctly, you may do the following:

    1) Recall that the voulme can be computed by V=\pi \int_{a}^{b}(f(x))^{2}dx (assuming that the graph of the function is turned 360 degrees around the x-axis)

    2) Find the limits a and b (you have these given)

    3) Compute V=\pi \int_{0}^{2}(\sqrt{5}x^{2})^{2}dx=\pi \int_{0}^{2}5x^{4}dx
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