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7.2A Volumes by Revolution: Disk/Washer Method

7.2A Volumes by Revolution: Disk/Washer Method. Ex 1 Find the volume of the solid obtained by rotating the region under the curve about the x-axis from 0 to 1. Ex 2 Find the volume of the solid obtained by rotating the region enclosed by the curves y = x 2 & y = x about

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7.2A Volumes by Revolution: Disk/Washer Method

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  1. 7.2A Volumes by Revolution: Disk/Washer Method

  2. Ex 1 Find the volume of the solid obtained by rotating the region under the curve about the x-axis from 0 to 1.

  3. Ex 2 Find the volume of the solid obtained by rotating the region enclosed by the curves y = x2 & y = x about a)y –axis b)y = 2.

  4. Disk: • Washer:

  5. HW: 7.2A pg. 463 # 1 – 21 EOO,23, 27, 33, 34

  6. 7.3 Volumes by Revolution: Cylindrical Shell Method

  7. Ex Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x2x3 and y = 0.

  8. Shell:

  9. HW: 7.3 pg. 472# 1 – 21 EOO, 27

  10. Definition of Volumefrom a to b:

  11. Ex 3 Prove that the volume of a sphere is:

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