# Thread: [SOLVED] Integral Volumes of revolution

1. ## [SOLVED] Integral Volumes of revolution

$
V = \pi \int_{10}^{10 - h} 81 - \frac{81 y^2}{476.55} \, dy
$
I keep trying but seem to be getting it wrong. It's a volumes of revolution question where the x and y axis have been swapped. THANKS. please show working. the idea is to have h=... THANKS AGAIN!!

2. Originally Posted by summna09
Could someone please integrate this V=(pi)(limits of 10 and 10-h)(integral sign)81-{(y^2*81)/476.55}- I keep trying but seem to be getting it wrong. It's a volumes of revolution question where the x and y axis have been swapped. THANKS. please show working. the idea is to have h=... THANKS AGAIN!!
Are you trying to calculate $V = \pi \int_{10}^{10 - h} 81 - \frac{81 y^2}{476.55} \, dy$ ? Please show your working.

(It might also be a good idea to post the original question that this integral is meant to be the answer to ....)

3. Yes that's it! Thanks. The question may not make sense as a diagram was given. Your bowl is to have one litre of liquid poured into it. to what vertical height will the liquid rise in your bowl under the assumption that the bowl was originall empty - that's why the axis are flipped.

4. Originally Posted by summna09
Yes that's it! Thanks. The question may not make sense as a diagram was given. Your bowl is to have one litre of liquid poured into it. to what vertical height will the liquid rise in your bowl under the assumption that the bowl was originall empty - that's why the axis are flipped.
Where is your trouble in doing the integration? Please post your working and say where you get stuck.

Also, it would be helpful to the people you want help from if you took a few minutes to learn some basic latex. Read this: http://www.mathhelpforum.com/math-he...-tutorial.html

5. Originally Posted by mr fantastic
Where is your trouble in doing the integration? Please post your working and say where you get stuck.

Also, it would be helpful to the people you want help from if you took a few minutes to learn some basic latex. Read this: http://www.mathhelpforum.com/math-he...-tutorial.html
it's ok i already figured this out - THANKS!!