Chapter 13.3, Problem 18E

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.

18.    R = {(r, θ): $\sqrt{3}$ ≤ r ≤ $\sqrt{15}$, –π/2 ≤ θ ≤ 2π}