# Planes and Surfaces

Calculus Level 3

Find the volume of the region enclosed by the plane $$z = 4$$ and the surface:

$z=\left ( 2x-y \right )^{2}+\left ( x+y-1 \right )^{2}$

The answer is of the form $\dfrac{A}{B}\pi,$ where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

×