# Volumes by Cross Sections

Volumes by Cross Sections can be setting a unit volume, $$\delta V$$ of a cross section. Then establish an integration for evaluating the volume of the entire solid. Worked Examples of Volumes by Cross Sections The base of a solid is formed by the area bounded by $$y = \cos x$$ and […]

# Volumes by Cylindrical Shells Method

Let’s consider the problem of finding the volume of the solid obtained by rotating about the $$x$$-axis or parallel to $$x$$-axis the region, where the core idea of cylindrical shells method for finding volumes. If we slice perpendicular to the $$y$$-axis, we get a cylinder. But to compute the inner radius and the outer radius […]