Solid of Revolution

Definition

A solid of revolution is a three-dimensional shape created by rotating a two-dimensional shape around an axis. It has a consistent cross-section at every point along its length.

Related terms

Axis of Rotation: The line about which the 2D shape is rotated to create the solid of revolution.

Cross-sectional Area: The area of the shape obtained when slicing perpendicular to the axis of rotation.

Disk Method:

A method used for finding volume where each cross-sectional slice is approximated as a disk with thickness and then summed up.