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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


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Volumes Using Cylindrical Shells Worksheets
Volumes Using Cylindrical Shells Worksheets
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