Volumes with Cross Sections

This guide covers calculating the volume of solids with semicircular cross sections using integration. It explains the core concept of integrating the cross-sectional area function, A(x), and the formula for the area of a semicircle. A worked example demonstrates finding A(x) from a given base region, setting up the definite integral, and evaluating it to determine the volume. Practice questions and a glossary of terms like radius, diameter, and integral are also included.