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Recall… Volume of a blob: Find cross sectional area at height h: A(h) Volume = General Volumes When the cross sections happen to be circles, we can use a simplified formula using the radius of each circle. But we cannot use this if the cross sections are not circles.
Example Find the volume of a cylinder that has an elliptical base with semi-major axis 5, semi-minor axis 4, and height 7. Area of ellipse: πab = π(4)(5) = 20π So A(z) = 20π, and volume = Minor Axis Major Axis
Page 1 and 2: Lesson 18 More about volumes
Page 3 and 4: Last time group work Find the volum
Page 5 and 6: Few more examples of solids of revo
Page 7: 1. Start with the picture. For soli
Page 11 and 12: Example 1 Great pyramid: square bas
Page 13 and 14: Example 2 Set up an integral to fin
Page 15 and 16: Example 3 Using Calculus: What is t

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