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12.5 Vol. of pyramids &amp; cones

# 12.5 Vol. of pyramids &amp; cones - 12.5 Volume of...

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Unformatted text preview: 12.5 Volume of Pyramids & Cones Cones p. 752 Thm 12.9 – Volume of a Pyramid Thm • Works for right & oblique pyramids Works because of Cavalieri’s Principle. because • A pyramid takes up 1/3 the space pyramid of a prism with the same base and height. height. SO, V = 1/3 Bh Ex: What is the volume of the oblique pyramid? oblique V = 1/3 Bh B = ½ Pa B = ½ (12)(ð3) B = 6ð3 V = 1/3 (6ð3)(5) V = 10ð3 10 V ≈ 17.32 cm3 17.32 5 cm 2 cm ð3 cm 1 cm Thm 12.10 – Volume of a Cone Thm • Works for right & oblique cones • A cone takes up 1/3 the space of a cone cylinder with the same base and height. height. SO, V = 1/3 Bh OR V = 1/3 2 r2h 1/3 l Ex: What is the volume of the cone? Ex V = 1/3 2 r2h 1/3 l V = 1/3 2 (6.72)(10.2) 1/3 l V = 479.49 m3 6.7 m 10.2 m Assignment Assignment ...
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