Find volume of solid made by rotating top half of ellipse


1) Find the Cartesian equation of the curve defined by parametric equations

x = 2cos t - cos 2t, y = 2sint - sin 2t.

What curve is it?

2) Find the volume of the solid generated by rotating the top half (y≥0) of the ellipse

x2/a2 + y2/b2 = 1

about the x-axis

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Mathematics: Find volume of solid made by rotating top half of ellipse
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