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Let E Be the Solid Bounded Above by the Sphere x2+y2+z2=1x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1

Question 75

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Let E be the solid bounded above by the sphere x2+y2+z2=1x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 and below by the cone z=x2+y2z = \sqrt { x ^ { 2 } + y ^ { 2 } } .(a) Express the volume of E as an iterated integral in rectangular coordinates.(b) Express the volume of E as an iterated integral in cylindrical coordinates.(c) Express the volume of E as an iterated integral in spherical coordinates.

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