where does the volume of a cylinder formula come from?
DESCRIPTION
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
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@MathletePearce tapintoteenminds.com
How to Find the Volume of a Cylinder
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How to Find the Volume of a Cylinder
@MathletePearce tapintoteenminds.com
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How to Find the Volume of a Cylinder
@MathletePearce tapintoteenminds.com
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A = r2π
@MathletePearce tapintoteenminds.com
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r2π
A =
@MathletePearce tapintoteenminds.com
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A =r
r
@MathletePearce tapintoteenminds.com
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rr
r2
A = r rx
@MathletePearce tapintoteenminds.com
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rr x
A = r rx
@MathletePearce tapintoteenminds.com
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r21rrr2
A =
@MathletePearce tapintoteenminds.com
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r2
r2
2r2
A =
@MathletePearce tapintoteenminds.com
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r2
r2 r2
3
r2
A =
@MathletePearce tapintoteenminds.com
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r2
r2 r2
r2
4
r2
A =
@MathletePearce tapintoteenminds.com
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r2
r2 r2
r2
4
r2
A =
@MathletePearce tapintoteenminds.com
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r24r2 r2 r2 r2+ + +
A =
@MathletePearce tapintoteenminds.com
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r24r2r2r2r24
A =
@MathletePearce tapintoteenminds.com
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r24
@MathletePearce tapintoteenminds.com
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Area of a Circle
0.86r2 3.14- =r24 r2
@MathletePearce tapintoteenminds.com
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Area of a Circle
0.86r2- =r24 r2π
@MathletePearce tapintoteenminds.com
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Area of a Circle
r2π
@MathletePearce tapintoteenminds.com
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rπ
Volume of a Cylinder
@MathletePearce tapintoteenminds.com
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rπ
Volume of a CylinderWith a Height of:
0Volume of Cylinder
πr20 x 0@MathletePearce tapintoteenminds.com
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rπ
Volume of a Cylinder
1
With a Height of:
1Volume of Cylinder
πr2 x 1@MathletePearce tapintoteenminds.com
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rπ
Volume of a Cylinder
2
With a Height of:
2Volume of Cylinder
πr2 x 2@MathletePearce tapintoteenminds.com
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rπ
Volume of a Cylinder
3
With a Height of:
3Volume of Cylinder
πr2 x 3@MathletePearce tapintoteenminds.com
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rπ
Volume of a Cylinder
h
With a Height of:
hVolume of Cylinder
πr2 x h@MathletePearce tapintoteenminds.com
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r2π
Volume of a Cylinder
h πr2 x h
@MathletePearce tapintoteenminds.com
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r2π
Volume of a Cylinder
h πr2hV =
@MathletePearce tapintoteenminds.com