Surface Integrals – Mass on a hemisphere – Exercise 4082

Exercise

Calculate the mass of the hemisphere

$x^2+y^2+z^2=9,z\geq 0$

Given that it has a surface density at any point equal to the distance from the point to the XY plane.

Final Answer

$m=\int\int_S z ds=27\pi$

Solution

Coming soon…

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