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Unexpected integration result in Wolfram|Alpha?

Posted 2 years ago

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

(here k =1 and r = 1.5)

What i do is: Get the describing equation.

Equation of curve

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

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?

POSTED BY: Wytse Haanstra
Posted 2 years ago

Hello, Same happened here, but with a much simpler integral, though it's not technically a simple but a double integral, please see the attached screenshot..doubleintegralgonewrong?

POSTED BY: JS Mahdawi
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