November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Effect of dimension changes on volume.

You'll learn; with the help of several examples and solution, to determine how a change in dimensions affects the volume of solids.

To understand details look into an example: when radius of a sphere is doubled, by what factor the volume will increase, E.g. in a rectangular prism, if the length and width are doubled, then volume increase four times. We'll now work out, what will be the change in volume of a cylinder, if its radius is doubled? You replace r by 2*r* in the formula for volume of cylinder,

V = ?*r*^{2}*h* i.e. ?(2r)^{2}*h* = 4?r^{2}*h* = 4*V*

Thus it is concluded that when radius is doubled, volume increases four times.

You'll learn; with the help of several examples and solution, to determine how a change in dimensions affects the volume of solids.

To understand details look into an example: when radius of a sphere is doubled, by what factor the volume will increase, E.g. in a rectangular prism, if the length and width are doubled, then volume increase four times. We'll now work out, what will be the change in volume of a cylinder, if its radius is doubled? You replace r by 2

V = ?

Thus it is concluded that when radius is doubled, volume increases four times.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

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