Volumes 7.3. Finding Volume Using the Cross Section Think of a cross section as a thin slice of the object. For Example:

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Presentation transcript:

Volumes 7.3

Finding Volume Using the Cross Section Think of a cross section as a thin slice of the object. For Example:

Volume To Find the volume, you first must find the formula for the area of the cross section. You then integrate the cross sectional area over the interval.

Example A door knob is created by rotating the the curve f(x) = 2 + cos(x) on the interval [-6,1] about the x axis. Find the volume of the solid that is created.

Homework Pg 406 #1,2 (skip part c in both), 7, 10, 11, 13