before: dec., 2016 -...
TRANSCRIPT
Lesson 11.5 and 11.6.notebook
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December 06, 2016
Dec 412:44 PM
Before: Dec., 2016An aquarium has the dimensions shown below. What is the volume of the tank?
Find the volume of the cylinder in terms of pi?
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During: Volumes of Pyramids and ConesSection 11.5 and 11.6
Learning Target: Finding the volume of a pyramid, cone, and a sphere.
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Volume of a Pyramid
The volume of a pyramid
is one third the product of the
area of the base and the
height of the pyramid.
V = 1/3Bh
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Problem 1: Finding Volume of a Pyramid “I Do”
• The entrance to the Louvre Museum in Paris, France, is a square pyramid with a height of 21.64 m. What is the approximate volume of the Louvre Pyramid?
Lesson 11.5 and 11.6.notebook
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December 06, 2016
Dec 412:44 PM
Problem 1: Finding Volume of a Pyramid “we Do”
• A sports arena shaped like a pyramid has a base area of about 300,000 ft² and a height of 321 ft. What is the approximate volume of the arena?
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Problem 1: Finding Volume of a Pyramid “You Do”
• The Great Pyramid of Giza is the largest of the original Seven Wonders of the World. The pyramid originally had the dimensions shown below. What was the approximate volume of the Great Pyramid?
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Problem 2: Finding the Volume of a Pyramid “I Do”
• What is the volume in cubic feet of a square pyramid with base edges 40 ft. and slant height 25 ft?
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Problem 2: Finding the Volume of a Pyramid “We Do”
• What is the volume of a square pyramid with base edges 24 m and slant height 13 m?
Lesson 11.5 and 11.6.notebook
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December 06, 2016
Dec 412:44 PM
Problem 2: Finding the Volume of a Pyramid “You Do”
• What is the volume in cubic yards of a square pyramid with base edges 18 yd and slant height 15 yd?
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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.
V = 1/3Bh or V = 1/3 r²h
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Problem 3: Finding the Volume of a Cone “I Do”
• The covering on a tepee rests on poles that come together like concurrent lines. The resulting structure approximates a cone. If the tepee pictured is 12 ft high with a base diameter of 14 ft, what is its approximate volume?
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Problem 3: Finding the Volume of a Cone “We Do”
• The height and radius of a child’s tepee are half those of the tepee in the previous problem. What is the volume of the child’s tepee to the nearest cubic foot?
Lesson 11.5 and 11.6.notebook
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December 06, 2016
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Problem 3: Finding the Volume of a Cone “You Do”
• About how many cubic centimeters of water does the paper drinking cup hold?
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Problem 4: Finding the Volume of an Oblique Cone “I Do”
• What is the volume of the oblique cone at the right? Give your answer in terms of pi and also rounded to the nearest cubic foot.
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Problem 4: Finding the Volume of an Oblique Cone “We Do”
• What is the volume of the oblique cone at the right in terms of pi and rounded to the nearest cubic meter?
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Problem 4: Finding the Volume of an Oblique Cone “You Do”• What is the volume of the oblique cone below? Give your answer
in terms of pi and also rounded to the nearest cubic inch.
Lesson 11.5 and 11.6.notebook
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December 06, 2016
Dec 412:54 PM
Volume of a Sphere
The volume of a sphere
is four thirds the product
of pi and the cube of the
radius of the sphere.
V = 4/3Πr³
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Problem 5: Finding the Volume of a Sphere “I Do”
• What is the volume of the sphere in terms of pi?
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Problem 2: Finding the Volume of a Sphere “We Do”
• A sphere has a diameter of 60 in. What is its volume to the nearest cubic inch?
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Problem 5: Finding the Volume of a Sphere “You Do”
• What is the volume of the sphere in terms of pi?
Lesson 11.5 and 11.6.notebook
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December 06, 2016
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After: Lesson Check• What is the volume of each figure? If necessary, round to the
nearest tenth.
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Homework:Page 730, #9 – 14 and #17 – 19