# Volume of ellipse

1. Jan 20, 2004

### tandoorichicken

Find the volume of an ellipse $$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$$ after being rotated over the x-axis.

2. Jan 20, 2004

### himanshu121

Area generated by the solid fig will be given by

$$\int_{-a}^{a} \pi y^2 dx$$

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