Question

ok i have a little stupid question :-S what is the volume of z^2=X^2+y^2 with z belonging to [0;1]
triple integrals :-S

Answer 1

triple integrals are pretty smart material.......

Answer 2

its not a stupid question at all :), find some solutions of similar problems on the internet so you can get some point how to calculate volume in R3 space

Answer 3

done that, it's just that this one is kind of awkward, i think it should be 2pi/3 but from my calculation that is the only thing that isn't

Answer 4

\[\frac 2 3 \pi\]

Answer 5

woops!! z goes from 0 to 1,
it's 1/3 pi

Answer 6

easy way,
another way
calculate this integral
\[ \int_{-1}^{1} \int_{-\sqrt{1 - x^2}}^{\sqrt{1 - x^2}}\int_{0}^{\sqrt{x^2 + y^ 2}} dz dy dz\]