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20140212 Volumes of Revolution.notebook 1 February 09, 2014 7.3 VOLUME:

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Page 1: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

2014­02­12 Volumes of Revolution.notebook

1

February 09, 2014

7.3 VOLUME:

Page 2: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

2014­02­12 Volumes of Revolution.notebook

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February 09, 2014

Page 3: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

2014­02­12 Volumes of Revolution.notebook

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February 09, 2014

Page 4: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

2014­02­12 Volumes of Revolution.notebook

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February 09, 2014

**Volume Activity

Page 5: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Recall the Volume formula for a cylinder.

We need Calculus to help us automate the process

of summing up the volumes of these tiny discs.

Page 6: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Page 7: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Page 8: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Page 9: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Think Outside minus Inside

Page 10: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Page 11: 2014-02-12 Volumes of Revolution.notebookimages.pcmac.org/SiSFiles/Schools/TN/BradleyCounty/WalkerValleyHigh/Uploads...pelpendicular to the axis of revolution, but no longer attached

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February 09, 2014

Ok, let's practice a bit of

the Washer Method!

Try #'s 12 & 13

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February 09, 2014

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February 09, 2014