MY VOLUME PROBLEM

USE THE APPLETS AT www.calculusapplets.com to help check your work

Instructions:  Create an f(x) and g(x) equation.

1.  Find the Area of the region contained between the equations or else the region between them for a certain interval of x.

Compute:

2.  The volume of the solid formed by rotating the region about the x-axis

3.  The volume of the solid formed by rotating the region about the y-axis

4. The volume formed by rotating the region about the line x=???

5.  The volume formed by rotating the region about the line y=???

6.  The volume formed by creating cross-sections perpendicular to the base region that are squares.

7.  The volume formed by creating cross-sections perpendicular to the base region that are equilateral triangles

8.  The volume formed by creating cross-sections perpendicular to the base region that are right isoceles triangles with the hypotenuse as the base.

9. The volume formed by creating cross-sections perpendicular to the base region that are right isoceles triangles with a leg as the base.

10.  The volume formed by creating cross-sections perpendicular to the base region that are semicircles.

11.  The volume formed by creating cross-sections perpendicular to the base region that are regular hexagons.  EXTRA CREDIT!!