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Area and Volumes of Revolution

Definition

The area and volumes of revolution refer to finding the area or volume generated when a region bounded by a curve is rotated around an axis. This concept involves integrating functions with respect to either x or y to calculate these quantities.

Related terms

Disk Method: The disk method is a technique used to find the volume of revolution by considering the cross-sections of the solid as disks or washers perpendicular to the axis of rotation.

Shell Method: The shell method is an alternative technique for finding volumes of revolution. It involves considering cylindrical shells parallel to the axis of rotation and integrating their volumes.

Washer Method: The washer method is another approach for finding volumes of revolution. It uses washers (rings) instead of disks or shells, allowing for more complex shapes to be calculated.

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Additional resources (1)

  • AP Calculus AB/BC - AP Calculus Free Response Question (FRQ) Overview

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Cram Mode

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.