Volume of a Sphere
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Standards-aligned
Chavonda Brown
Used 5+ times
FREE Resource
14 Slides • 4 Questions
1
The Volume of a
Sphere
Lesson # 20
Download for free at openupresources.org.
2019 Open Up Resources |
2
Let’s explore
spheres and their
volume.
3
Today’s Goals
❏ I can find the volume of a sphere when I know the radius.
4
A Sphere in a Cylinder
Activity 20.2
● Notice & Wonder
● MLR7: Compare & Connect
Comprehend/ Apply: Activity
20.2
5
●Which is bigger, the volume of the
sphere or the volume of the
cylinder?
●
6
What do you notice? What do you wonder?
7
Let's answer Questions 2 - 3 as a class.
8
Spheres in Cylinders
Activity 20.3
● MLR5: Co-Craft Questions &
Problems
Comprehend/ Apply:
Activity 20.3
9
Now, let's focus on all questions
as a class.
10
Organize- Lesson 20 Synthesis
● A quick estimate for volume of a sphere is V≈ 4/3r3
● How good of an approximation is this? Can you
think of a better one?
● Calculate the volume of a sphere with a radius of
10 inches using:
○ The actual volume formula
○ The approximation formula
○ Your own approximation formula
11
Volume of Spheres
Practice Problems
Apply/ Summarize:
Activity 20.4
12
I will explain how to complete this problem.
13
Practice Problems
Volume of a Sphere
Apply/ Summarize:
Activity 20.4
14
Multiple Choice
What is the volume of the sphere?
8π cm3
36π cm3
144π cm3
288π cm3
15
Multiple Choice
A soccer ball has a radius of 11 cm. Using π ~ 3.14, what is the approximate volume of the soccer ball in cubic centimeters?
1520
3135
4772
5572
16
Multiple Choice
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closet to the volume, in cubic feet, of the sphere?
261,000
2,351,000
18,810,000
41,210,000
17
Multiple Choice
Which three dimensional figure is associated with the volume formula, V=34πr3 ?
cylinder
sphere
prism
cone
18
Today’s Goals
❏ I can find the volume of a sphere when I know the radius.
The Volume of a
Sphere
Lesson # 20
Download for free at openupresources.org.
2019 Open Up Resources |
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