Chapter 14.6, Problem 3QCE

Let G be the solid region describes in Quick Check Exercise 2. In each part, supply the missing integrand and limits of integration for the iterated integral in spherical coordinates.

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

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