Convert the Integral Below from Rectangular Coordinates to Both Cylindrical $\int_{-3}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt {9-x^2}}\int_{x^2+y^2}^{9} x d z d y d x$

question 1

Multiple Choice

Convert the integral below from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simpler iterated integral.
$\int_{-3}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt {9-x^2}}\int_{x^2+y^2}^{9} x d z d y d x$

• A) \(8 \pi\)
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 1 } { 4 } \pi\)
• D) \(2 \pi\)
• E) 0

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