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Math Help - pumping the tank

  1. #1
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    pumping the tank

    ok im working on a problem and want to know if my setup is correct, can someone check it out and let me know..thanks alot. here is a copy of my work. IMG.pdf
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  2. #2
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    Quote Originally Posted by slapmaxwell1 View Post
    ok im working on a problem and want to know if my setup is correct, can someone check it out and let me know..thanks alot. here is a copy of my work. IMG.pdf
    The end of the tank is a circle. Place the circle on a coordinate system with the center at the origin. Then the equation of the circle is
    x^2+y^2=(1.5)^2
    A slice of gasoline perpendicular to the y-axis could be approximated by a right rectangular prism with dimensions 2x, 4 and dy.
    V=8\sqrt{2.25-y^2}\,dy
    F=(density of gasoline)(volume)
    In the coordinate system a point that is 5 above the top of the tank would have y-coordinate 6.5
    The distance the slice would have to travel is 6.5-y
    W=\int_{-1.5}^{1.5}8\rho\sqrt{2.25-y^2}(6.5-y)\,dy
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