A charge cloud contained in a sphere B of radius r centimeters centered at the origin has its charge density given by \(q(x, y, z)=k \sqrt{x^{2}+y^{2}+z^{2}} \frac{\mu \mathrm{C}}{\mathrm{cm}^{3}}\) , where k > 0 . The total charge contained in B is given by \(Q=\iiint_{R} q(x, y, z) d V\) . Find the total charge Q .

Text Transcription:

q(x, y, z)=k sqrt x^2+y^2+z^2 mu C / cm^3

Q=iiint_R q(x, y, z) dV

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