Developing the Formula for the Volume of a Sphere
This presentation is the property of its rightful owner.
Sponsored Links
1 / 7

Developing the Formula for the Volume of a Sphere PowerPoint PPT Presentation


  • 43 Views
  • Uploaded on
  • Presentation posted in: General

Developing the Formula for the Volume of a Sphere. OR. =. +. Volume of a Sphere. Using relational solids and pouring material we noted that the volume of a cone is the same as the volume of a hemisphere (with corresponding dimensions)

Download Presentation

Developing the Formula for the Volume of a Sphere

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Developing the formula for the volume of a sphere

Developing the Formula for the Volume of a Sphere


Developing the formula for the volume of a sphere

OR

=

+

Volume of a Sphere

Using relational solids and pouring material we noted that the volume of a cone is the same as the volume of a hemisphere (with corresponding dimensions)

Using “math language” Volume (cone) = ½ Volume (sphere)

Therefore 2(Volume (cone)) = Volume (sphere)


Developing the formula for the volume of a sphere

OR

=

÷ 3

Volume of a Sphere

We already know the formula for the volume of a cone.


Developing the formula for the volume of a sphere

Height

BASE

Volume of a Sphere

AND we know the formula for the volume of a cylinder


Developing the formula for the volume of a sphere

=

÷ 3

2 X

=

Volume of a Sphere

SUMMARIZING:

Volume (cylinder)= (Area Base) (height)

Volume (cone)= Volume (cylinder)/3

Volume (cone)= (Area Base) (height)/3

AND2(Volume (cone)) = Volume (sphere)


Developing the formula for the volume of a sphere

2 X

=

r

h

r

Volume of a Sphere

2(Volume (cone)) = Volume (sphere)

2( ) (height)/3= Volume (sphere)

2()(h)/3= Volume (sphere)

BUT h = 2r

2(r2)(2r)/3 = Volume(sphere)

4(r3)/3 = Volume(sphere)

Area of Base

r2


Developing the formula for the volume of a sphere

Volume of a Sphere


  • Login