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RSS Feed for Wolfram Community showing any discussions in tag Wolfram|Alpha sorted by activeUnexpected integration result in Wolfram|Alpha?
https://community.wolfram.com/groups/-/m/t/2374008
Hello All,
I'm working on a problem which I'm currently stuck on.
I would like to calculate the volume of fluid in a horizontal end cap.
![Impression of shape horizontal tank end cap][1]
(here k =1 and r = 1.5)
What i do is:
Get the describing equation.
![Equation of curve][2]
Then rotate it along the x axis. This gives a circle over the x axis on any given point on the curve.
And finally integrate over the y axis. To get the volume.
![Equation of integration][3]
Unfortunately if I put in numbers for k and r and try to compute the volume with y i don't get the correct results.
A full volume with k =1 and r=1.5 should give me: 22.88.
What have I done wrong?
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=MImpressionhorizontaltankendcap.png&userId=2373861
[2]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Curveequation.png&userId=2373861
[3]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Integrationpicture.png&userId=2373861Wytse Haanstra2021-09-26T11:49:57Z