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

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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

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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.

Slide 10

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

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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

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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?