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Unit 5 - Lesson 16 - Grade 8: Illustrative Mathematics

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Grade 8 Unit 5
Lesson 16: Finding Cone Dimensions
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 5
Lesson 16: Finding Cone Dimensions
CC BY 2021 Illustrative Mathematics®
Lesson: Finding Cone Dimensions

Number Talk: Thirds (Warm Up)

For each equation, decide what value, if any, would make it true.
1.

2.

3.

4.

An Unknown Radius (Optional)

The volume V of a cone with radius is given by the formula V = 1/3 πr2h.

5.

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


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

Cones with Unknown Dimensions

6.

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

Popcorn Deals

A movie theater offers two containers:

7.

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

Cool Down: A Square Radius

A Square Radius

8.

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?