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A Cylindrical Tube of Radius 2cm and Length 3cm Contains

question 19

Essay

A cylindrical tube of radius 2cm and length 3cm contains a gas.As the tube spins around its axis, the density of the gas increases as you get farther from the axis.The density, D, at a distance of r cm from the axis is D(r)= 1 +9 r gm/cc.
Write a triple integral representing the total mass of the gas in the tube and evaluate the integral.


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