
Volume of a cone
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
Standards-aligned
Chavonda Brown
Used 11+ times
FREE Resource
16 Slides • 6 Questions
1
Volume of Cones
Lesson # 15
Download for free at openupresources.org.
2019 Open Up Resources |
2
Let’s explore cones
and their volume.
3
Today’s Goals
❏ I can find the volume of a cone in mathematical and
real-world situations.
❏ I know the formula for the volume of a cone.
4
Which Has a Larger Volume?
Warm Up 15.1
Activate: Activity 15.1
5
● Work quietly
(2-3 min)
● We will have a whole class discussion on #1 and #2
6
From Cylinders to Cones
Activity 15.2
●
MLR8: Discussion Supports
●
Notice and Wonder
Comprehend/ Apply: Activity 15.2
7
What do you notice? What do you wonder?
8
Organize: Activity
15.2 Synthesis
9
Calculate that Cone
Activity 15.3
●
MLR3: Clarify, Critique, Correct
Comprehend/ Apply: Activity 15.3
10
I will discuss these problems.
11
Calculate that Cone
Now it's time for you to practice.
Practice
12
Drag and Drop
The volume of the cone is
13
Multiple Choice
Which 3-dimensional figure is associated with the volume formula, V=31πr2h ?
pyramid
cylinder
sphere
cone
14
Multiple Choice
Which equation represents the volume of the cone shown in cubic centimeters?
V = 80 ×150 ×π
V =31×π×802×150
V =21×π×802×170
V = 80 ×150 ×170×π
15
Fill in the Blanks
What is the volume of the cone in cubic centimeters?
Record your answer to the nearest whole unit. Use 3.14 for π.
16
Multiple Choice
Which is closest to the volume of Mike's cup?
21 cubic inches
63 cubic inches
66 cubic inches
198 cubic inches
17
Multiple Choice
What is the volume, in cubic inches, of the cone?
18π
27π
81π
108π
18
Organize: Lesson 15 Synthesis
●What is the relationship between the volume of a cylinder and the volume
of a cone?
●If we know the volume of a cone, how do we calculate the volume of a
cylinder that has the same height and base area?
●If we know the volume of a cylinder, how do we calculate the volume of a
cone that has the same height and base area?
●If a cylinder and a cone have the same base, how tall does the cone have
to be relative to the cylinder so that they both have the same volume?
19
Today’s Goals
❏ I can find the volume of a cone in mathematical and
real-world situations.
❏ I know the formula for the volume of a cone.
20
Calculate Volume of Two Figures
Cool Down 15.4
Apply/ Summarize: Activity 15.4
21
22
Need a challenge?
Volume of Cones
Lesson # 15
Download for free at openupresources.org.
2019 Open Up Resources |
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