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

question 24

Multiple Choice

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

• A) \(81 \pi\)
• B) \(162 \pi\)
• C) \(324 \pi\)
• D) \(27 \pi\)
• E) \(40.5 \pi\)