Word Count : 245

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The solid is bounded below by (z = x^2 + y^2) and above by (z = 1), with density (\delta(x,y,z) = |x|). To find the mass, we integrate the density over the volume: [ M = \iiint_V \delta(x,y,z) , dV = \iiint_V |x| , dV ] The projection of the solid on the (xy)-plane is where (x^2 + y^2 \le 1), _______ _____ _________ ______ _________ _____ ________.
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