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3x23y2 and the plane z = 9 if the mass density of the solid is Use spherical coordinates to find the total mass M and the mom

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The moment of inertia of a solid about the cooidinate axes Oz, Oy, 0z are given as y2 (x, y, 2 ) dx dy d z , В Iy (x22 o(I, y9/Cose T/6 y3 dr do do COS9 sing 2 n 9 do dp S COS9 Sing rt/ sino de dp Cos30 218 4 9 2 T 4 M 2187 4 e Further, 72 (sing sin(Sing sinp coss) Sing CoS $8 de dip sin39 Sinp do d + sino do dp cos sin 6 dp dip =0 g6 Пу 6 2 T 36 6 (. 2 5587 9 TT 12 9(sine cospcos 0) cose sing r5drdedp 9/Cose T/6 2n (Sino cospcos?0) cose singr5dr do dp 21 sine de dp 96 (sine cosp +cos

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