10sVolumeQuiz - 1b. If you use the disk method , then the...

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Prof. Girardi Math 142 Spring 2010 Quiz This quiz covers, from Calculus by Stewart 6 th ed., ET, Sections: 6.2, 6,3. Fill-in-the blanks/boxes. In 1a and 2a , fill in the blank with: perpendicular or parallel. In 1b, 1c, 1d, 2b, 2c , fill in the blank with a formula involving some of : 2 , π , radius , radius big , radius little , average radius , height , and/or thickness. 1. Disk/Washer Method Let’s say you revolve some region in the xy -plane around an axis of revolution so you get a solid of revolution. Next you want to find the volume of this solid of revolution using the disk or washer method. 1a. You should partition the coordinate axis (i.e., the x -axis or the y -axis) that is to the axis of revolution.
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Unformatted text preview: 1b. If you use the disk method , then the volume of a typical disk is: . 1c. If you use the washer method , then the volume of a typical washer is: . 1d. If you partition the z-axis, the z = . 2. Shell Method Lets say you revolve some region in the xy-plane around an axis of revolution so you get a solid of revolution. Next you want to nd the volume of this solid of revolution using the shell method. 2a. You should partition the coordinate axis (i.e., the x-axis or the y-axis) that is to the axis of revolution. 2b. If you use the shell method , then the volume of a typical shell is: . 2c. If you partition the z-axis, the z = . 1...
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