?Let Q be the solid situated outside the sphere \(x^{2}+y^{2}+z^{2}=z\) and inside the
Chapter 5, Problem 342(choose chapter or problem)
Let Q be the solid situated outside the sphere \(x^{2}+y^{2}+z^{2}=z\) and inside the upper hemisphere \(x^{2}+y^{2}+z^{2}=R^{2}\) , where R > 1. If the density of the solid is \(\rho(x, y, z)=\frac{1}{\sqrt{x^{2}+y^{2}+z^{2}}}\) , find R such that the mass of the solid is \(\frac{7 \pi}{2}\) .
Text Transcription:
x^2 + y^2 + z^2 = z
x^2 + y^2 + z^2 = R^2
rho(x, y, z) = 1 / sqrt x^2 + y^2 + z^2
7pi/2
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