- Discussion [Using Flash]
[Using Java]
- Finding the volume of a right circular cone.

Discussion [Using Flash] [Using Java] - An animation showing the rotation of a graph about the x-axis.
- More details on the solid obtained in the animation above.
- Finding the volume of a rotated graph.

Discussion [Using Flash] [Using Java] - Examples:
Find the volume of the solid obtained by rotating the following areas about the x-axis:

- Area bounded by the graph of
**f(x) = x - x**and the^{2}**x**-axis.

Solution [Using Flash] [Using Java]

[Graph] - Area bounded by the graphs of
**f(x) = x**,^{3}- x + 1**x = -1**,**x = 1**and the**x**-axis.

Solution [Using Flash] [Using Java]

[Graph]

- Area bounded by the graph of
- Finding the volume obtained by rotating the area between the graphs of two functions about the
**x**-axis.

Discussion [Using Flash] [Using Java] - Examples:
Find the volume of the solid obtained by rotating the following area about the x-axis:

- Area bounded by the graphs of
**f(x) = x**and^{2}**g(x) = x**.^{3}

Solution [Using Flash] [Using Java]

[Graph]

Find the volume of the solid obtained by rotating the area bounded by

**f(x) = x**and^{2}**g(x) = x**about the following lines:**y = -1**.

Solution [Using Flash] [Using Java]

[Graph]**y = 2**.

Solution [Using Flash] [Using Java]

[Graph]**y**-axis.

Solution [Using Flash] [Using Java]

[Graph]

- Area bounded by the graphs of