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

question 6

Multiple Choice

Use polar coordinates to find the volume of the solid under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and above the disk $x ^ { 2 } + y ^ { 2 } \leq 4$ . Select the correct answer.

• A) \(64 \pi\)
• B) \(5.3 \pi\)
• C) \(32 \pi\)
• D) \(16 \pi\)
• E) \(8 \pi\)

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