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11.5 Volumes of Pyramids and Cones. The volume of a pyramid is one third the product of the area of the base and the height of the pyramid. Finding Volume of a Pyramid. - PowerPoint PPT Presentation
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11.5 Volumes of Pyramids and Cones• The volume of a pyramid is one third the product of
the area of the base and the height of the pyramid.
1
3V Bh
Finding Volume of a Pyramid• The entrance to the Louvre Museum in Paris,
France is a square pyramid with a height of 21.64 m with sides 35.4 m. What is the approximate volume of the Louvre Pyramid?
235.4(35.4) 1253.16B m 1(1253.16)(21.64)3
V
39039.4608 9039V m
Finding the Volume of a Pyramid• What is the volume in cubic feet of a square
pyramid with base edges 40 ft and slant height 25 ft?2 2 2c a b 2 2 225 20h
2625 400h 2125 h
15h
1(40 40)(15)3
38000 ft
Volume of a Cone
• The volume of a cone is one third the product of the area of the base and the height of the cone.
21
3V r h
Finding the Volume of a Cone• The covering on a tepee rests on poles that come
together like concurrent lines. The resulting structure approximates a cone. If the tepee is 12 ft. high with a base diameter of 14 ft., what is the approximate volume?
21
3V r h
21(7) (12)
3V 615.7621601
3616 .ft
More Practice!!!!!
• Homework – Textbook p. 729 – 730 # 5 – 7, 9 – 14, 17 – 19 ALL.
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