Transcript of How do you think through and answer a real world problem involving cones? For example: A conical...
- Slide 1
- How do you think through and answer a real world problem
involving cones? For example: A conical glass flower vase has a
base that is 6 inches in diameter and the vase holds approximately
113 cubic inches of water. What is the height of the vase?
- Slide 2
- In this lesson you will learn how to solve real world problems
by finding the volume of cones.
- Slide 3
- Lets Review h
- Slide 4
- 250 cubic inches of water means I have a volume of 250 in 3 in
in 2 in 3 length area volume
- Slide 5
- Core Lesson A conical glass flower vase has a base that is 6
inches in diameter and the vase holds approximately 113 cubic
inches of water. What is the height of the vase?
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- Lets Review Core Lesson d=6 in so r=3 in
- Slide 7
- Lets Review Core Lesson
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- Lets Review A Common Mistake r= 2in V = 25.13 in 3
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- In this lesson you learned how to solve real world problems by
finding the volume of cones.
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- Lets Review Guided Practice A wax candle is in the shape of a
right circular cone. The height of the candle is 9cm and the candle
contains approximately 167.55 cm 3 of wax. What is the radius of
the candle?
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- Lets Review Guided Practice Find: radius= ?? Given: height = 9
cm volume = 113.1 cm 3
- Slide 12
- Lets Review Guided Practice A cement truck dumps 37.7 cubic
feet of cement mix at a construction site in the shape of a conical
mound. The base of the pile of cement has an approximate diameter
of 6 ft. How tall is the mound of cement?
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- Lets Review Guided Practice Find: height = ?? Given: diameter =
6 ft volume = 37.7 ft 3
- Slide 14
- Lets Review Extension Activities An ice cream shop stores ice
cream in cylindrical containers that are 25 cm tall with radius 15
cm. They sell scoops of ice cream that are 6 cm in diameter.
Approximately how many scoops of ice cream will the store be able
to serve out of one full cylindrical container?
- Slide 15
- Lets Review Quick Quiz An ice cream cone has a radius of 2 in.
How much melted ice cream will the cone hold if it has a height of
6 inches? 2. An art sculpture has a base in the shape of a cone. It
took approximately 2.1 cubic ft of cement to make the base which
has a diameter of 2 ft. How tall is the base?