Disk Method Problem Solver

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

1.

Find exact the volume of the solid formed when the graph of the parabola over [0,4] is rotated around x-axis through the angle of radians.

2.

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

3.

Find the exact volume of the solid when the region enclosed by ,y=3 and x=0 is revolved about the y-axis.

4.

Find the volume of the solid formed when the graph of the curve is rotated radians about the x-axis between x=0 and x=1.