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

question 31

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)
• \( \int_{0}^{2} \int_{x}^{4}\int_{0}^{\sqrt{4-y^2}} dzdydx \)

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