how do you find the volume of a cylinder?
DESCRIPTION
How do you find the volume of a cylinder?. For example: A cylinder with height 7cm and radius 2cm. r=2cm. h =7cm. 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. Volume = Base x height - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/1.jpg)
How do you find the volume of a cylinder? For example: A cylinder with
height 7cm and radius 2cm
h=7cm
r=2cm
![Page 2: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/2.jpg)
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.
![Page 3: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/3.jpg)
Let’s ReviewLet’s Review
B= 6cm2
h= 4cm
Volume = Base x height
V = Bh
=(6cm2)(4cm)
= 24 cm3
![Page 4: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/4.jpg)
Let’s ReviewLet’s Review
B= 4cm2
h= 5cm
V = Bh
=(4cm2)(5cm)
= 20 cm3
![Page 5: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/5.jpg)
Let’s ReviewLet’s Review
r=3cm
A = r2
=
= 9 cm3
![Page 6: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/6.jpg)
Let’s ReviewCore Lesson
B = r2
h
Cylinder
Volume = Base x height
V = r2h
![Page 7: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/7.jpg)
Let’s ReviewCore Lesson
h=7cm
r=2cmV = Bh
V = r2h
V = 2(7cm)
V = 28 cm3
![Page 8: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/8.jpg)
Let’s ReviewA Common Mistake
V = Bh
V = rh
V = r2h
2(9cm)
V = 225 cm3
r=5cm
h=9cm
= 90cm
![Page 9: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/9.jpg)
In this lesson you learned how to develop and apply the formula for volume of a
cylinder by using the concept of stacking circles.
![Page 10: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/10.jpg)
Let’s ReviewGuided Practice
Find the volume of the cylinder.
r=2cm
h=4cm
V = Bh
V = r2h
V = 2(4cm)
V = 16 cm3
![Page 11: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/11.jpg)
Let’s ReviewGuided Practice
Find the volume of the cylinder.
d=6cm
h=8cm
V = Bh
V = r2h
V = 2(8cm)
V = 72 cm3
d=6cm so
r=3cm
![Page 12: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/12.jpg)
Let’s ReviewExtension Activities
Research Cavalieri’s Principle and explain how it can be used to derive the formula for
volume of a cylinder.
![Page 13: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/13.jpg)
Let’s ReviewExtension 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.
![Page 14: How do you find the volume of a cylinder?](https://reader035.vdocuments.mx/reader035/viewer/2022062301/56815b5a550346895dc94109/html5/thumbnails/14.jpg)
Let’s ReviewQuick 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