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GeoGebra 3D Visualization Applets

for Past AP* Free-Response Volume Questions

GeoGebra is a wonderful free app for exploring mathematics.  It is available at geogebra.org.

Doug Kuhlmann, who for many years taught mathematics at Phillips Academy in Andover, Massachusetts, has developed GeoGebra applets that help visualize in 3D free-response volume problems from past AP exams.

Doug graciously offered his applets to the mathematics community and let us post them here.  Doug's volume (and many other) applets are also available on Doug's web site, dougkuhlmann.webs.com.

      Doug Kuhlmann
2016 2015 2014 2013 2012
2011 2010 2009 2008 2007 2006


You may download the applets for face-to-face teaching.  You are not authorized to publish or distribute the applets in any form or post them on the Internet without Doug Kuhlmann's permission.

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which was not involved in the production of this web site.