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How do you find the volume of a cylinder? For example: A cylinder with height 7cm and radius 2cm h=7cm r=2cm.

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Presentation on theme: "How do you find the volume of a cylinder? For example: A cylinder with height 7cm and radius 2cm h=7cm r=2cm."— Presentation transcript:

1 How do you find the volume of a cylinder? For example: A cylinder with height 7cm and radius 2cm h=7cm r=2cm

2 In this lesson you will learn how to develop and apply the formula for volume of a cylinder by using the concept of stacking circles.

3 Let’s Review B= 6cm 2 h= 4cm Volume = Base x height V = Bh =(6cm 2 )(4cm) = 24 cm 3

4 Let’s Review B= 4cm 2 h= 5cm V = Bh =(4cm 2 )(5cm) = 20 cm 3

5 Let’s Review r=3cm

6 Let’s Review Core Lesson h

7 Let’s Review Core Lesson h=7cm r=2cm

8 Let’s Review A Common Mistake r=5cm h=9cm

9 In this lesson you learned how to develop and apply the formula for volume of a cylinder by using the concept of stacking circles.

10 Let’s Review Guided Practice Find the volume of the cylinder. r=2cm h=4cm

11 Let’s Review Guided Practice Find the volume of the cylinder. d=6cm h=8cm d=6cm so r=3cm

12 Let’s Review Extension Activities Research Cavalieri’s Principle and explain how it can be used to derive the formula for volume of a cylinder.

13 Let’s Review Extension Activities Make two different cylinders out of two identical sheets of notebook paper, one by taping the longer edges together and the other by taping the shorter edges. Which looks to have greater volume? Test your prediction by measuring and calculating the actual volume of each.

14 Let’s Review Quick Quiz 1. Find the volume of a cylinder with height 5cm and radius 1cm 2. Find the volume of a cylinder with height 10cm and radius 3cm


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