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Find the mass of the given shape

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1) (From prob_4.doc) Find the mass of the annulus (donut shape) having radius 1<r<2 when the density funciton rho(r,theta) = (1-ar^2) where a is a constant.

2) (From prob_5.doc) Find the total mass of the 3D object when the mass density rho and the object size is rho(r,phi,theta)=r^2sin(theta) where 1<r<2, 0<phi<pi and 0<theta<pi.

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The solution finds the mass of the given shape.

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See Also This Related BrainMass Solution

polar coordinates calculus

Use double integration in polar coordinates to find the volume of the solid that lies below the given surface and above the plane region R bounded by the given curve.

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