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Use Polar Coordinates to Find the Volume of the Solid z=x2+y2z = x ^ { 2 } + y ^ { 2 }

Question 31

Multiple Choice

Use polar coordinates to find the volume of the solid under the paraboloid z=x2+y2z = x ^ { 2 } + y ^ { 2 } and above the disk x2+y29x ^ { 2 } + y ^ { 2 } \leq 9 .


A) 81π81 \pi
B) 162π162 \pi
C) 324π324 \pi
D) 27π27 \pi
E) 40.5π40.5 \pi

Correct Answer:

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