Use cylindrical or spherical coordinates, whichever seem more appropriate,
to evaluate the triple integral $\displaystyle \int \int \int_{V} z dV $ where V lies above the paraboloid $\displaystyle z = x^2 + y^2$ and below the plane $\displaystyle z = 6y.$
I am having trouble with the bounds and am not sure whether to use cylindrical or spherical coordinates.