Volume by Cross Section (Tutorial)-AP Calculus

This video provides an in-depth explanation of volume by (KNOWN) cross section, a common topic seen on both the free response questions (FRQ) and multiple choice sections of the AP Calculus exams. This video has a conceptual explanation of the topic for real world application and overall better understanding, visual models, and FRQ explanations which include how to solve some problems commonly seen on the AP exam.

Table of contents:
0:17-Conceptual Explanation
1:47-Quantified explanation
2:36-A(x) formulas for commons shapes used as cross sections (Square, Isosceles triangle, equilateral triangle, semi circle)
5:27-FRQ tutorial #1(Using cross sections of semi circles perpendicular to the x-axis)
8:19-FRQ tutorial #2(Using cross sections of squares perpendicular to the y-axis)
11:50-FRQ tutorial #3(Using cross sections of triangles perpendicular to the x-axis)

Video edited by Sophia Xu
Explanations done by Audra Blazicko, Sona S., and Sophia Xu