Chapter 14.6, Problem 2QCE

Let G be the solid region inside the sphere of radius 2 centered at the origin and above the plane $z=1.$ In each part, supply the missing integrand and limits of integration for the iterated integral in cylindrical coordinates

(a) The volume of G is ${\displaystyle \underset{G}{\iiint }dV}={\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}\text{\_\_\_\_\_\_}}}}dzdrd\theta$

(b) ${\displaystyle \underset{G}{\iiint }\frac{z}{x^2+y^2+z^2}dV}={\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}\text{\_\_\_\_\_\_}}}}dzdrd\theta$