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Mathematics, 22.04.2020 15:16 edgarnino13

Let D be the smaller cap cut from a solid ball of radius 44 units by a plane 22 unitsunits from the center of the sphere. Express the volume of D as an iterated triple integral in (a) spherical, (b) cylindrical, and (c) rectangular coordinates. In each case, let the center of the solid ball be the origin and let the plane be zequals=22. Then (d) find the volume by evaluating one of the three triple integrals.

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