Unit: Applications of IntegrationModule: Finding Volumes Using Cross-SectionsFinding Volumes Using Cross-Sectional Sliceswww.thinkwell.com [email protected]Copyright 2001, Thinkwell Corp. All Rights Reserved. 1585 –rev 08/29/2001• The volume of a solid with vertical cross-sectionsof area A(x) is Vwhere: =∫()baVAxdx. • The volume of a solid with horizontal cross-sectionsof area A(y) is Vwhere: =∫baydy. Finding the volume of an object is pretty easy if you know the formula. But a lot of objects don’t fit any commonly known formulas. How do you find the volumes of these strangely shaped objects? If you consider the object in slices, then all you would have to do is find the volume of each individual slice and then add them together. These slices are called
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.