Calculus

Volumes Using Cylindrical Shells Worksheets

These Calculus Worksheets will produce problems that involve calculating the volumes of shapes using cylindrical shells.
The student will be given intersecting functions, and will be asked to find the volume a shape formed by rotating the enclosed portion of the graph about an axis. They will use cylindrical shells.
You may select the types of functions to use, and the format of the problems. There will be four problems.

These Volumes Using Cylindrical Shells Worksheets are a great resource for Definite Integration.





Types of Areas:

Areas enclosed by a quadratic polynomial and an axis
Areas enclosed by a cubic polynomial and an axis


Choose the Type of Axis to Revolve Around:

Only revolve around x = 0 or y = 0
Only revolve around lines that are not on an axis
Use a mixture of both


Choose the Direction of Graphs:

Use functions of x only
Use functions of y only
Use a mixture of both


Language for the Volumes Using Cylindrical Shells Worksheets

English German Albanian
Spanish Swedish Italian
French Turkish Polish
Norwegian


Memo Line for the Volumes Using Cylindrical Shells Worksheets

You may enter a message or special instruction that will appear on the bottom left corner of the Volumes Using Cylindrical Shells Worksheets.





Volumes Using Cylindrical Shells Worksheets Answer Page



Now you are ready to create your Volumes Using Cylindrical Shells Worksheets by pressing the Create Button.


     






If You Experience Display Problems with Your Math Worksheet




Click here for More Calculus