Volume by Parallel Cross Sections Definition
The formula (Volume = a∫b A(x) dx, where A(x) is the formula for the area of parallel cross-sections over the entire length of the solid.) and image below gives the volume of a solid. A(x) is the formula for the area of parallel cross-sections over the entire length of the solid.
The disk method and the washer method are both derived from this formula.
Related Definitions
Sources
“Calculus.” Volumes of Solids with Known Cross Sections, www.cliffsnotes.com/study-guides/calculus/calculus/applications-of-the-definite-integral/volumes-of-solids-with-known-cross-sections.
