Friday, 16 August 2013

Triple Integral in cylindrical coordinate

Triple Integral in cylindrical coordinate

Let E be the region bounded above by the paraboloid $z=4- x^2 - y^2$ in
the first octant and $f(x,y,z)=5\sqrt{x^2+y^2}$ be the density of the
solid E.
a) Set up an integral for the volume E.
b) Find the mass of the solid E.

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