Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed between the given surfaces. (FIGURE CAN'T COPY)The surfaces in Exercise $20.$

Key Concepts: Triple Integrals, Iterated Integrals, Volume Explanation: To find the volume of the solid enclosed between the given surfaces, we need to set up a triple integral. Step by Step Solution: Step 1. Identify the limits of integration for each variable (x, y, z) by looking at the given figure and the equations of the surfaces. Step 2. Decide on the order of integration. Since the solid is enclosed between $z=x^2+y^2$ and $z=1$, we should integrate with respect to $z$ first, followed by $y$ and then $x$. Step 3. Set up the iterated integral in the chosen order with the corresponding limits of integration. We have: ${\int }_{-1}^1{\int }_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}{\int }_{x^2+y^2}^{1}dzdydx$. Final Answer: The iterated triple integral for the volume of the solid enclosed between the given surfaces is ${\int }_{-1}^1{\int }_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}{\int }_{x^2+y^2}^{1}dzdydx$.