Where Does The Volume of a Cylinder Formula Come From?

Post on 05-Jul-2015

394 views 1 download

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

@MathletePearce tapintoteenminds.com

How to Find the Volume of a Cylinder

How to Find the Volume of a Cylinder

@MathletePearce tapintoteenminds.com

How to Find the Volume of a Cylinder

@MathletePearce tapintoteenminds.com

A = r2π

@MathletePearce tapintoteenminds.com

r2π

A =

@MathletePearce tapintoteenminds.com

A =r

r

@MathletePearce tapintoteenminds.com

rr

r2

A = r rx

@MathletePearce tapintoteenminds.com

rr x

A = r rx

@MathletePearce tapintoteenminds.com

r21rrr2

A =

@MathletePearce tapintoteenminds.com

r2

r2

2r2

A =

@MathletePearce tapintoteenminds.com

r2

r2 r2

3

r2

A =

@MathletePearce tapintoteenminds.com

r2

r2 r2

r2

4

r2

A =

@MathletePearce tapintoteenminds.com

r2

r2 r2

r2

4

r2

A =

@MathletePearce tapintoteenminds.com

r24r2 r2 r2 r2+ + +

A =

@MathletePearce tapintoteenminds.com

r24r2r2r2r24

A =

@MathletePearce tapintoteenminds.com

r24

@MathletePearce tapintoteenminds.com

Area of a Circle

0.86r2 3.14- =r24 r2

@MathletePearce tapintoteenminds.com

Area of a Circle

0.86r2- =r24 r2π

@MathletePearce tapintoteenminds.com

Area of a Circle

r2π

@MathletePearce tapintoteenminds.com

Volume of a Cylinder

@MathletePearce tapintoteenminds.com

Volume of a CylinderWith a Height of:

0Volume of Cylinder

πr20 x 0@MathletePearce tapintoteenminds.com

Volume of a Cylinder

1

With a Height of:

1Volume of Cylinder

πr2 x 1@MathletePearce tapintoteenminds.com

Volume of a Cylinder

2

With a Height of:

2Volume of Cylinder

πr2 x 2@MathletePearce tapintoteenminds.com

Volume of a Cylinder

3

With a Height of:

3Volume of Cylinder

πr2 x 3@MathletePearce tapintoteenminds.com

Volume of a Cylinder

h

With a Height of:

hVolume of Cylinder

πr2 x h@MathletePearce tapintoteenminds.com

r2π

Volume of a Cylinder

h πr2 x h

@MathletePearce tapintoteenminds.com

r2π

Volume of a Cylinder

h πr2hV =

@MathletePearce tapintoteenminds.com