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Use Polar Coordinates to Find the Volume of the Solid z=76x26y2z = 7 - 6 x ^ { 2 } - 6 y ^ { 2 }

Question 7

Multiple Choice

Use polar coordinates to find the volume of the solid bounded by the paraboloid z=76x26y2z = 7 - 6 x ^ { 2 } - 6 y ^ { 2 } and the plane z=1z = 1 .
Select the correct answer.


A) 6π6 \pi
B) 13π13 \pi
C) 3π3 \pi
D) 4.5π4.5 \pi
E) 2π2 \pi

Correct Answer:

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