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Find the Mass of a Thin Funnel in the Shape z=x2+y2,1≤z≤4z = \sqrt { x ^ { 2 } + y ^ { 2 } } , 1 \leq z \leq 4

Question 101

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Find the mass of a thin funnel in the shape of a cone z=x2+y2,1≤z≤4z = \sqrt { x ^ { 2 } + y ^ { 2 } } , 1 \leq z \leq 4 , is its density
function is ρ(x,y,z)=10−z\rho ( x , y , z ) = 10 - z .

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