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Topic: Volumes of Solids of Revolution
Replies: 13   Last Post: Jan 15, 1998 1:22 PM

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Elisse Ghitelman

Posts: 34
Registered: 12/6/04
Volumes of Solids of Revolution
Posted: Jan 8, 1998 7:44 PM
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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

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