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

question 56

Multiple Choice

Use polar coordinates to find the volume of the solid under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and above the disk $x ^ { 2 } + y ^ { 2 } \leq 25$ .

• A) \(2,500 \pi\)
• B) \(625 \pi\)
• C) \(312.5 \pi\)
• D) \(1,250 \pi\)
• E) \(208.3 \pi\)

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