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GEOMETRY: Chapter 12

GEOMETRY: Chapter 12. 12.5 Volumes of Pyramids and Cones. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 829. Theorem 12.10: Volume of a Cone The volume V of a cone is V = (1/3) Bh = (1/3) π r 2 h

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GEOMETRY: Chapter 12

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  1. GEOMETRY: Chapter 12 12.5 Volumes of Pyramids and Cones

  2. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 829.

  3. Theorem 12.10: Volume of a Cone The volume V of a cone is V = (1/3)Bh = (1/3)πr2h where B is the area of a base, h is the height, and r is the radius of the base. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 829.

  4. Ex. 1: Find the volume of each solid. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 830.

  5. Ex. 1: Find the volume of each solid. Answer: 653.33 in3 ; 3.42 cm3 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 830.

  6. Ex. 2. The Pyramid of the Sun in Teotihuacan, Mexico, is a regular square pyramid with height 63 m and volume 970, 725 m3. Find the side length of the base.

  7. Ex. 2. The Pyramid of the Sun in Teotihuacan, Mexico, is a regular square pyramid with height 63 m and volume 970, 725 m3. Find the side length of the base. Answer: 215 m

  8. Ex. 3: Find the volume of the right cone. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 830.

  9. Ex. 3: Find the volume of the right cone. Answer: 2167.96 cm cubed Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 830.

  10. Ex. 4 Find the volume of the solid shown, which is formed by two cones. Answer: 3560.47 mm3 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 831.

  11. Ex. 5 You are making coffee using a cone-shaped filter. It takes 14 minutes to brew coffee. Find the flow rate of the coffee in cubic inches per minute. Answer: about 2.36 in3/ min Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 831.

  12. 12.5, p. 755, #2-25 all (24 questions)

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