Question: Use spherical coordinates. (a) Write an integral that can be used to find the volume of the solid that lies above the cone go =

Use spherical coordinates. (a) Write an integral that can be used

Use spherical coordinates. (a) Write an integral that can be used to find the volume of the solid that lies above the cone go = g and below the sphere p = 12 cos(qo). in A '12 cos(ga) _ / [ l ( p231n(9) )dp 0'? d9 . O . 0 . B x A = -144 \"K s = 1350 X Find the volume. 270% ./ (b) Find the moments about the three coordinate planes of the solid found in part (a). Mn]: 0 x M.= 0 J M3,: 6J3 x Find the centroid of the solid. (;,;,2)=( 0,0,63 J )

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