Chapter 13.3, Problem 17E

Solids bounded by hyperboloids Find the volume of the solid below the hyperboloid $z=5-\sqrt{1+x^2+y^2}$ and above the following regions.

17.    R = {(r, θ): $\sqrt{3}$ ≤ r ≤ 2 $\sqrt{2}$, 0 ≤ θ ≤ 2π}