March 15th, 2017, 10:24 PM  #1 
Newbie Joined: Mar 2017 From: Earth Posts: 5 Thanks: 0  volume of this shape
Please I need help to calculate this volume: The base is an ellipse and a/b are its major/minor axes. Thanks. Last edited by skipjack; March 16th, 2017 at 10:22 PM. 
March 16th, 2017, 10:26 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 16,595 Thanks: 1199 
Do you know how to find a volume of revolution?

March 16th, 2017, 11:14 PM  #3 
Newbie Joined: Mar 2017 From: Earth Posts: 5 Thanks: 0 
@skipjack: Yes I know but in this case the base is not a circle it's an ellipse ! I found a solution if x=0 were the "axis of revolution". . But when x=a it's bit tricky....

March 17th, 2017, 01:34 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 16,595 Thanks: 1199 
If the volume for a circular base of radius a is V, the volume for the elliptical base is (b/a)V. The diagram seems poor, as the distance shown as 2$a$ is nothing like twice the distance shown as $a$.

March 17th, 2017, 02:08 AM  #5 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,407 Thanks: 859 Math Focus: Elementary mathematics and beyond 
Please post your image as an attachment.

March 17th, 2017, 02:36 AM  #6 
Newbie Joined: Mar 2017 From: Earth Posts: 5 Thanks: 0 
Ok

March 20th, 2017, 10:56 PM  #7 
Newbie Joined: Mar 2017 From: Earth Posts: 5 Thanks: 0 
up !


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integral calculus, shape, volume 
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