Use the Geogebra Applet to create a solid through the rotation of a graph round the x- or y-axis.[br]

Find exact the volume of the solid formed when the graph of the parabola [math]y=\sqrt{2x}[/math] over [0,4] is rotated around x-axis through the angle of [math]2\pi[/math] radians.

Find the volume of a sphere with radius R=a.

Find the exact volume of the solid when the region enclosed by [math]y=\sqrt{3x}[/math],y=3 and x=0 is revolved about the y-axis.[br]

Find the volume of the solid formed when the graph of the curve [math]y=e^{x-1}[/math] is rotated [math]2\pi[/math] radians about the x-axis between x=0 and x=1.