As I looked through the ETS description for the course, I noticed that under "Applications of the Definite Integral" they have listed areas of regions and "volumes of solids of known cross section". Am I correct in assuming that volumes of solids of revolution are included in that topic? I have always seen the term "volumes of solids of known cross section" referring to the type of problem where "every cross section perpendicular to the x-axis is an isosceles triangle."
Has anyone heard at any conferences that the College Board has run whether they are de-emphasizing these topics in favor of problems like the "cola consumption" problem of a few years ago? Looking through OLD AP exams, I had noticed that volumes of solids problems were on almost every free response section of the BC exam.
It always struck me that by "guaranteeing" one free response problem of that type, we weren't really requiring students to be able to apply definite integration as a problem solving technique that required them to understand what was going on.
Elisse Ghitelman Newton North High School Newton, MA, USA