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sjmoneys96
Group Title
find the total mass of the solid ball x^2+y^2+z^2=1. The ball has a mass density of 1/(1+x^2+y^2+z^2). I know that a conversion to spherical coordinates is needed but am unsure of how to do it.
 one year ago
 one year ago
sjmoneys96 Group Title
find the total mass of the solid ball x^2+y^2+z^2=1. The ball has a mass density of 1/(1+x^2+y^2+z^2). I know that a conversion to spherical coordinates is needed but am unsure of how to do it.
 one year ago
 one year ago

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azr95 Group TitleBest ResponseYou've already chosen the best response.0
Let \[\rho^2 = x^2+y^2+z^2\] and tripleintegrate the density function over the domain\[\rho \in [0,1]; \theta \in [0,2\pi]; \phi \in [0,\pi]\] So you should end up with something like\[\int\limits_{0}^{2\pi}\int\limits_{0}^{\pi}\int\limits_{0}^{1}\frac{ 1 }{ 1+\rho^2 }d \rho d \phi d \theta\]
 one month ago
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