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

question 7

Multiple Choice

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

• A) \(6 \pi\)
• B) \(13 \pi\)
• C) \(3 \pi\)
• D) \(4.5 \pi\)
• E) \(2 \pi\)