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Use Cylindrical Coordinates to Find ∭RdV\iiint _ { R } d V

Question 52

Essay

Use cylindrical coordinates to find ∭RdV\iiint _ { R } d V , where R={(r,θ,z):0≤θ≤π,0≤r≤4sin⁡(θ), and 0≤z≤16−r2}R = \left\{ ( r , \theta , z ) : 0 \leq \theta \leq \pi , 0 \leq \mathrm { r } \leq 4 \sin ( \theta ) , \text { and } 0 \leq \mathrm { z } \leq \sqrt { 16 - r ^ { 2 } } \right\}

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