Sketch the Solid Whose Volume Is Given by the Iterated $\int_{0}^{2} \int_{y}^{2}\int_{0}^{\sqrt{4-y^2}} dzdxdy$

Multiple Choice

Sketch the solid whose volume is given by the iterated integral given below and use the sketch to rewrite the integral using the indicated order of integration. $\int_{0}^{2} \int_{y}^{2}\int_{0}^{\sqrt{4-y^2}} dzdxdy$ Rewrite the integral using the order $d z d y d x$ .

A)
$\int_{0}^{2} \int_{2}^{x}\int_{0}^{\sqrt{4-x^2}} dzdydx$

B)
$\int_{-2}^{2} \int_{0}^{x}\int_{0}^{\sqrt{4-y^2}} dzdydx$

C)
$\int_{0}^{2} \int_{x}^{2}\int_{0}^{\sqrt{2-y^2}} dzdydx$

D)
$\int_{0}^{2} \int_{0}^{x}\int_{0}^{\sqrt{4-y^2}} dzdxdy$

E)
$\int_{0}^{2} \int_{x}^{4}\int_{0}^{\sqrt{4-y^2}} dzdydx$