Let D be the smaller cap cut from a solid ball of radius 12 units by a plane 6 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. Then (d) find the volume by evaluating one of the three triple integrals. (a) The integral in spherical coordinates is (Type exact answers, using л as needed.) (b) The integral in cylindrical coordinates is (Type exact answers, using π as needed.) Sp² sin & dp dø de. 0 0 5/ cos 2π 5√√√√100-2 s s 0 S r dz dr de. 0 5 (c) The integral in rectangular coordinates is (Type exact answers, using π as needed.) (d) The volume is (Type an exact answer, using л as needed.) 5√√3 √75-x² √100-x² - y² S S S dz dy dx. -5√3 -√75-x² 5