Lesson 20

finding cone dimensions

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Warm Up

Lesson

Summary

Cool

Down

Reflections

Student

Task

Learning

Targets

Practice Problems

Lesson Video

Unit 6

functions and volume

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20.1 Warm Up - Number Talk: Thirds

For each equation, decide what value, if any, would make it true.

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Learning Targets

• I can find missing information of about a cone if I know its volume and some other information.

Success Criteria

Today I am using the volume of a cone to find the height or radius to maximize the space.

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20.2 An Unknown

Radius

The volume V of a cone with radius r is given by the formula V=⅓𝜋r²h.

The volume of this cone with height 3 units and radius r is V=64𝜋 cubic units. This statement is true: 64𝜋 = ⅓ 𝜋 r² 3

What does the radius of this cone have to be? Explain how you know.

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20.3 Cones with Unknown Dimensions

Each row of the table has some information about a particular cone. Complete the table with the missing dimensions.

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20.4 Popcorn Deals

A movie theater offers two containers:

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Which container is the better value? Use 3.14 as an approximation for 𝜋.

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Lesson Summary

• The volume of a cone is ⅓ of the volume of a cylinder or the volume of the cylinder is 3 times the volume of the cone.
• The volume of a cone is V=⅓𝜋r²h.

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Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9𝜋 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?

20.5 Cool Down: A Square Radius

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Reflections

• Can you find missing information of about a cone if I know its volume and some other information?

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Practice Problems

Must do: All problems

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Lesson Video

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