Let D be the region bounded below by the xy-plane, above by the sphere x^2 + y^2 + z^2 = 36, and on the sides by the cylinder x^2 + y^2 = 25. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration dz dr dθ.
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This means we are looking at a spherical cap, where the cap is cut off by a cylinder. Show more…
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