Question

Express the triple integral y dV as an integrals dzdydx and then dydzdx, and evaluate one. E is the solid bounded by paraboloid z=x^2+y^2 and the planes z=4 and y=0 on the positive side of the y-axis. Sketch E.

Answer 1

0<z<r2
0<r<2
-pi/2<teta<pi/2

Answer 2

sorry 0<teta<pi
but for volume it is not different.

Answer 3

But how did you find that?

Answer 4

And why r and theta when it asks for x, y , and z?