Let D be the smaller cap cut from a solid ball of radius 20 units by a plane 10 units 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 = 10. Then (d) find the volume by evaluating one of the three triple integrals. (a) The integral in spherical coordinates is J J dp do d0.

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