Solve a Challenging Ellipsoid Problem Today!

[Hadhod]

Challenging Problems


Develop a formula for the volume of an ellipsoid of the form
x2\a2 +y2\b2 +z2\c2 = 1



pls Help me;
I need the answer today

 

[Defennder]

You can parametrise it as follows:
http://en.wikipedia.org/wiki/Ellipsoid

Then perform a triple integration to find the volume in spherical coordinates. But the problem I got with this method is finding the limits of integration for p.

 

[Hadhod]

Thank you very much Defennnder

but I don't understand it .

 

[Pere Callahan]

What exactly don't you understand? Are you familiar with using triple integrals in order to find the volume of some three-dimensional region?

 

[Hadhod]

I want to underatand
how I can develop a formula for the volume of an ellipsoid by that equation

 

[HallsofIvy]

If you have no idea how to find a volume of rotation, why are you attempting a problem like this?

 

[Hadhod]

Thank you HallsofIvy for helping me

 

[Hadhod]

So

there is no one can help me ?^-*

 

[HallsofIvy]

Since you refuse to help yourself--

 

[Defennder]

Does the method of volume by rotation work if all three semi-axes are unequal?

 

[Hadhod]

it must be equal

 

[Defennder]

Do you mean to say all are equal? Or 2 are equal? Because if all are equal, then you have a sphere. If only 2 are equal then you only need to find the volume by rotation by integration as Halls said.

 

[Hadhod]

I am sorry
2 are equal

 

[Defennder]

You can start by reading up on the solid of revolution by integration, if you don't already know it. Try this:
http://en.wikipedia.org/wiki/Solid_of_revolution

 

[Hadhod]

Thank you alooooooooooooooooooooooooooooooooot

 

[vip89]

ya
I am from UoS
Why??
whze this??

 

[Defennder]

Um just a reminder before the two of you get warnings from forum admins. Please do all your chatting through Private Messages.

 

[Hadhod]

Ohhhhh