Where Does The Volume of a Cylinder Formula Come From?

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@MathletePearce tapintoteenminds.com How to Find the Volume of a Cylinder

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Watch a visual presentation of where the Volume of a Cylinder Formula comes from by starting with the area of the base (area of a circle) and extending the height from 0 to an unknown value, h. Check out the full resources and a full length video here: http://tapintoteenminds.com/2014/09/04/volume-cylinder-formula-come/

Transcript of Where Does The Volume of a Cylinder Formula Come From?

Page 1: Where Does The Volume of a Cylinder Formula Come From?

@MathletePearce tapintoteenminds.com

How to Find the Volume of a Cylinder

Page 2: Where Does The Volume of a Cylinder Formula Come From?

How to Find the Volume of a Cylinder

@MathletePearce tapintoteenminds.com

Page 3: Where Does The Volume of a Cylinder Formula Come From?

How to Find the Volume of a Cylinder

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Page 4: Where Does The Volume of a Cylinder Formula Come From?

A = r2π

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Page 5: Where Does The Volume of a Cylinder Formula Come From?

r2π

A =

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Page 6: Where Does The Volume of a Cylinder Formula Come From?

A =r

r

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Page 7: Where Does The Volume of a Cylinder Formula Come From?

rr

r2

A = r rx

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Page 8: Where Does The Volume of a Cylinder Formula Come From?

rr x

A = r rx

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Page 9: Where Does The Volume of a Cylinder Formula Come From?

r21rrr2

A =

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Page 10: Where Does The Volume of a Cylinder Formula Come From?

r2

r2

2r2

A =

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Page 11: Where Does The Volume of a Cylinder Formula Come From?

r2

r2 r2

3

r2

A =

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Page 12: Where Does The Volume of a Cylinder Formula Come From?

r2

r2 r2

r2

4

r2

A =

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Page 13: Where Does The Volume of a Cylinder Formula Come From?

r2

r2 r2

r2

4

r2

A =

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Page 14: Where Does The Volume of a Cylinder Formula Come From?

r24r2 r2 r2 r2+ + +

A =

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Page 15: Where Does The Volume of a Cylinder Formula Come From?

r24r2r2r2r24

A =

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Page 16: Where Does The Volume of a Cylinder Formula Come From?

r24

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Page 17: Where Does The Volume of a Cylinder Formula Come From?

Area of a Circle

0.86r2 3.14- =r24 r2

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Page 18: Where Does The Volume of a Cylinder Formula Come From?

Area of a Circle

0.86r2- =r24 r2π

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Page 19: Where Does The Volume of a Cylinder Formula Come From?

Area of a Circle

r2π

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Page 20: Where Does The Volume of a Cylinder Formula Come From?

rπ

Volume of a Cylinder

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Page 21: Where Does The Volume of a Cylinder Formula Come From?

rπ

Volume of a CylinderWith a Height of:

0Volume of Cylinder

πr20 x 0@MathletePearce tapintoteenminds.com

Page 22: Where Does The Volume of a Cylinder Formula Come From?

rπ

Volume of a Cylinder

1

With a Height of:

1Volume of Cylinder

πr2 x 1@MathletePearce tapintoteenminds.com

Page 23: Where Does The Volume of a Cylinder Formula Come From?

rπ

Volume of a Cylinder

2

With a Height of:

2Volume of Cylinder

πr2 x 2@MathletePearce tapintoteenminds.com

Page 24: Where Does The Volume of a Cylinder Formula Come From?

rπ

Volume of a Cylinder

3

With a Height of:

3Volume of Cylinder

πr2 x 3@MathletePearce tapintoteenminds.com

Page 25: Where Does The Volume of a Cylinder Formula Come From?

rπ

Volume of a Cylinder

h

With a Height of:

hVolume of Cylinder

πr2 x h@MathletePearce tapintoteenminds.com

Page 26: Where Does The Volume of a Cylinder Formula Come From?

r2π

Volume of a Cylinder

h πr2 x h

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Page 27: Where Does The Volume of a Cylinder Formula Come From?

r2π

Volume of a Cylinder

h πr2hV =

@MathletePearce tapintoteenminds.com


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