I’ve got two questions about two problems. First I just want to confirm that I’m setting up this density integral properly:(adsbygoogle = window.adsbygoogle || []).push({});

“Find the mass of the conical solid bounded by [itex]z = \sqrt{x^2 + y^2}[/itex] and [itex]x^2 + y^2 + z^2 = 4[/itex] if the density at any point is proportional to the distance to the origin.

I’m taking that last part to mean that Density = ρ, so when I convert to spherical coordinates and set up the integral I get:

[itex] \int{0_2\pi} \int{0_\pi/4} \int{0_2} ρ^3 dρ d∅ dθ[/itex]

Is that [itex] ρ^3 [/itex] right? Or should it be [itex] (ρ^2 + ρ) [/itex]?

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# Homework Help: Triple Density Integration

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