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Showing posts with label volume in polar form. Show all posts
Showing posts with label volume in polar form. Show all posts

Friday, April 17, 2009

volume using integral calculus

volume using integral calculus
Volume of the solid obtained by revolving the shaded region about the x-axis is

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.