Mathematics
Mathematics, 19.12.2019 19:31, aliciavocals6944

Let d be the smaller cap cut from a solid ball of radius 2 units by a plane 1 unit 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 z=1. then (d) find the volume by evaluating one of the three triple integrals.

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