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

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