Chapter 13.3, Problem 15E

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.

15.    R = {(r, θ): 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π}