![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg80UgmntY4dN_h8T2XWbBNM-754Yh29-cmiMwnv1eR2txwe0gEuv0WKbPDqCFhMMvzajUHoWEh_oc20vsWyHWFYbj-ZqN0S63tEiHV0HEBooMjK7HzQj6V6YtvfwlkR16mDt5gy99vfp7L/s400/2009-04-16_200918.gif)
Volume of the solid obtained by revolving the shaded region about the x-axis is
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaiOPIzeBIrt3hkeXFxd68q73TD_NPPpKhJ6Yo1Oo7Obl1h1IxIzqUCZH400oLirHCJyHa3FXm377hg74ZtSBszhP-5yqude8qKUUDsuVsohH0ypsWua7P0zX-tcxW1zcHvBO_WcP0eO4h/s400/2009-04-17_203525.gif)
solved problems on finding volume of solid of revolution using integration
volume of the solid obtained by revolving the ellipse ( x² / a²) + ( y² / b²) = 1 about the x axis
volume of the solid obtained by revolving the cardioid r = a(1 + cosθ ) about the initial line
volume of the spindle shaped solid obtained by revolving the
hypocycloid x^(2/3) + y^(2/3) =a^(2/3) about the x axis.
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