Monday, 19 August 2013

Find the volume of an object...

Find the volume of an object...

Find a volume of an object enclosed with $x=y^{2}+z^{2}$ and the $x=6$
planes.


Can I use cylindrical coordinates here? If so, then what will the $r$ be?
The radius of the enclosing circle at the top is $\sqrt{6}$, so it would
be:
$$0<r<\sqrt{6}$$ $$0<\phi<2\pi$$ $$r^{2}<x<6$$ Unfortunately as far as I
know the radius should be measured from the $(0,0,0)$ point, so it's
wrong. How should I do this?

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