Section 6.2 Volumes Page 2 141 PDF/Lecture … · The idea is to fill the solid of revolution with...
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Goal: To find the volume of a solid of revolution using the disc method. Definition: If a region in the plane is revolved about a line, then the resulting solid is called a solid of revolution. generalizing the disc method area of cross section - Google Search https://www.google.com/search?q=generalizing+the+disc+method+area+of+cross+section&source=lnms&tbm=isch&sa=X&ei= 16n6UuOKEfTW2wW3jICQDA&ved=0CAcQ_AUoAQ&biw=1603&bih=841 #q=finding+volume+of+a+solid+using+area+of+cross+section&tbm=isch Screen clipping taken: 2/11/2014 2:56 PM The idea is to fill the solid of revolution with n discs. You can find the volume of each disc and sum to estimate the volume of the solid, or, better yet, use an integral to find the exact volume. Section 6.2: Volumes Tuesday, February 11, 2014 1:08 PM Section 6.2 Volumes Page 1
Transcript of Section 6.2 Volumes Page 2 141 PDF/Lecture … · The idea is to fill the solid of revolution with...
Goal: To find the volume of a solid of revolution using the disc method.
Definition: If a region in the plane is revolved about a line, then the resulting solid is called a solid of revolution.
generalizing the disc method area of cross section - Google Searchhttps://www.google.com/search?q=generalizing+the+disc+method+area+of+cross+section&source=lnms&tbm=isch&sa=X&ei=16n6UuOKEfTW2wW3jICQDA&ved=0CAcQ_AUoAQ&biw=1603&bih=841#q=finding+volume+of+a+solid+using+area+of+cross+section&tbm=ischScreen clipping taken: 2/11/2014 2:56 PM
The idea is to fill the solid of revolution with n discs. You can find the volume of each disc and sum to estimate the volume of the solid, or, better yet, use an integral to find the exact volume.
Section 6.2: VolumesTuesday, February 11, 20141:08 PM
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Note: The disc method only allows us to find the volume of a solid having a circular cross section. However, we can generalize the disc method as long as we know a formula for the area of an arbitrary cross section as follows:
generalizing the disc method area of cross section - Google Searchhttps://www.google.com/search?q=generalizing+the+disc+method+area+of+cross+section&source=lnms&tbm=isch&sa=X&ei=16n6UuOKEfTW2wW3jICQDA&ved=0CAcQ_AUoAQ&biw=1603&bih=841#q=finding+volume+of+a+solid+using+area+of+cross+section&tbm=ischScreen clipping taken: 2/11/2014 2:56 PM
generalizing the disc method area of cross section - Google Searchhttps://www.google.com/search?q=generalizing+the+disc+method+area+of+cross+section&source=lnms&tbm=isch&sa=X&ei=16n6UuOKEfTW2wW3jICQDA&ved=0CAcQ_AUoAQ&biw=1603&bih=841#q=finding+volume+of+a+solid+using+area+of+cross+section&tbm=isch&facrc=_&imgdii=_&imgrc=o6y23p1X2k1TaM%253A%3BsPO0z7n1t_wLNM%3Bhttp%253A%252F%252Ftutorial.math.lamar.edu%252FClasses%252FCalcI%252FMoreVolume_files%252Fimage002.gif%3Bhttp%253A%252F%252Ftutorial.math.lamar.edu%252FClasses%252FCalcI%252FMoreVolume.aspx%3B484%3B294Screen clipping taken: 2/11/2014 3:07 PM
Section 6.2 Volumes Page 6
