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AP Calculus AB. Day 8 Section 7.3. Shell Method (for finding the volume of a solid of revolution). Most important difference is that our rectangles are chosen to be parallel to the axis of revolution!. Vertical axis of revolution. Horizontal axis of revolution.

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ap calculus ab

AP Calculus AB

Day 8

Section 7.3

Perkins

shell method for finding the volume of a solid of revolution
Shell Method (for finding the volume of a solid of revolution)

Most important difference is that our rectangles are chosen to be parallel to the axis of revolution!

Vertical axis of revolution

Horizontal axis of revolution

slide3

1. Use the shell method to find the volume of the solid generated by revolving the area enclosed by over about the y-axis.

Shell Method:

slide4

2. Use the shell method to find the volume of the solid generated by revolving the area enclosed by over about the x-axis.

Shell Method:

ap calculus ab1

AP Calculus AB

Day 8

Section 7.3

Perkins

shell method for finding the volume of a solid of revolution1
Shell Method (for finding the volume of a solid of revolution)

Vertical axis of revolution

Horizontal axis of revolution

slide7

1. Use the shell method to find the volume of the solid generated by revolving the area enclosed by over about the y-axis.

slide8

2. Use the shell method to find the volume of the solid generated by revolving the area enclosed by over about the x-axis.