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IM K-5 Math
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6-8 Grade 8 Unit 5 Lesson 15

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K-5 Math •6-8 Math 9-12 Math

Course

Grade 6 Grade 7 •Grade 8

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Unit 1 Unit 2 Unit 3 Unit 4 •Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 •Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Lesson 22

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Unit 5, Lesson 15

The Volume of a Cone

Grade 8

Practice

Problem 1
Student Task Statement
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of the cylinder and the cone.

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Lesson 15 Resources

Student Materials Student Materials in Spanish

Problem 2

Student Task Statement

The volume of this cone is cubic units.

What is the volume of a cylinder that has the same base area and the same height?

A drawing of a cone.

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Problem 3

ForLesson 14: Finding Cylinder Dimensions

Student Task Statement

A cylinder has a diameter of 6 cm and a volume of cm³.

Sketch the cylinder.
Find its height and radius in centimeters.
Label your sketch with the cylinder’s height and radius.

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Problem 4

ForLesson 10: Piecewise Linear Functions

Student Task Statement

A basketball team wants to order custom printed T-shirts. Shirts cost $10 each if they order 10 or fewer shirts and $9 each for 11 or more shirts.

Make a graph that shows the
total cost of buying shirts,
for 0 through 15 shirts.
There are 10 people on the team. Do they save money if they buy an extra shirt? Explain your reasoning.
What is the slope of the graph between 0 and 10? What does it mean in the story?
What is the slope of the graph between 11 and 15? What does it mean in the story?

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Problem 5

ForLesson 6: Even More Graphs of Functions

Student Task Statement

In the following graphs, the horizontal axis represents time and the vertical axis represents distance from school. Write a possible story for each graph.

A graph, quadrant 1, linear piecewise. Positive, constant, positive slope.

A graph, quadrant 1, linear piecewise. Positive, constant, negative slope.

A graph, quadrant 1, negative slope.

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