Conceptual
Login

Volume of Revolution Using the Disk Method in Calculus

The disk method computes the volume of a solid of revolution by integrating the cross-sectional area of circular disks (pi times radius squared) perpendicular to the axis of rotation, over the interval spanned by that axis. This is a technique within integral calculus for computing volumes of solids formed by rotating a plane region bounded by curves about an axis, requiring the region's boundary to be expressed as a radius function of the integration variable (the axis of rotation) and the corresponding bounds to be determined in that variable.