Volume the solid limited by surfaces $\displaystyle x^2+y^2=4z$ , $\displaystyle x^2+y^2=8y$ and $\displaystyle z=0$

Is correct?

$\displaystyle V=2\int_{0}^{\frac{\pi}{2}} \int_{0}^{8sen\theta} \int_{0}^{\frac{P^2}{4}}$

to be mounted in cylindrical coordinates?

The answer is:

$\displaystyle 256\pi$