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Use a Triple Integral in Spherical Coordinates to Find the Volume

Question 58

Essay

Use a triple integral in spherical coordinates to find the volume of that part of the sphere x2+y2+z2=9x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9 which lies inside the cone z=x2+y2z = \sqrt { x ^ { 2 } + y ^ { 2 } } .

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