Use a Double Integral in Polar Coordinates to Find the Volume

question 102

Multiple Choice

Use a double integral in polar coordinates to find the volume of the solid in the first octant bounded by the graphs of the equations given below. $$z = x ^ { 3 } y , x ^ { 2 } + y ^ { 2 } = 4$$

• A) \(\frac { 32 } { 3 }\)
• B) \(\frac { 8 } { 3 }\)
• C) \(\frac { 4 } { 3 }\)
• D) \(\frac { 3 } { 32 }\)
• E) \(\frac { 3 } { 8 }\)

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