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Math Help - Volumes by Slicing

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    Volumes by Slicing

    I've been working on this problem for about half an hour and haven't gotten anywhere.

    The base of a solid is the region between the curve y=2sqrt[sinx] and the interval [0, pi] on the x-axis. The cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the curve.

    I think I'm supposed to use the formula V=A(x)dx, need help, thanks.
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    Quote Originally Posted by leticiamc08 View Post
    I've been working on this problem for about half an hour and haven't gotten anywhere.

    The base of a solid is the region between the curve y=2sqrt[sinx] and the interval [0, pi] on the x-axis. The cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the curve.

    I think I'm supposed to use the formula V=A(x)dx, need help, thanks.
    V = \int_a^b A(x) \, dx

    area of an equilateral triangle with side length s is

    A = \frac{\sqrt{3}}{4} s^2

    s = 2\sqrt{\sin{x}}

    set it up and find the volume.
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