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12-3 Cylinders and Cones

Learn about cylinders and cones, their formulas for lateral area, total area, and volume, and how to calculate these measurements. Discover the shapes of their lateral areas. Complete homework problems related to these new shapes!

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12-3 Cylinders and Cones

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  1. 12-3 Cylinders and Cones

  2. New Shapes! • Cylinder • Like a prism, but with circular bases • Cone • Like a pyramid, but with a circular base r h l h r

  3. Re-Write the Formulas for LA, TA, and Volume for a Cylinder and Cone Cylinder LA = ph Ch 2rh TA = LA + 2B LA + 2r2 V = Bh r2h Cone LA = ½pl ½(2r)l rl TA = LA + B LA + r2 V = 1/3Bh 1/3r2h

  4. TOO: Fill in the Chart for a Cylinder r h

  5. TOO: Fill in the Chart for a Cone l h r

  6. Side Note • What shape is the LA of a cylinder? • Rectangle • What shape is the LA of a cone? • Sector h 2r l 2r

  7. Homework • Page 492 #1-8 all, 9-15 odd

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