Find the Volume of the Indicated Region $z = x ^ { 2 } + y ^ { 2 }$

question 179

Multiple Choice

Find the volume of the indicated region.
-the region bounded by the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ , the cylinder $x ^ { 2 } + y ^ { 2 } = 4$ , and the $x y$ -plane

• A) \(4 \pi\)
• B) \(8 \pi\)
• C) \(\frac { 16 } { 3 } \pi\)
• D) \(\frac { 8 } { 3 } \pi\)

---

Definitions:

Lives Of People

The various experiences, relationships, and events that constitute the existence of individuals in society.

Employee

An individual who works part-time or full-time under a contract of employment, whether oral or written, express or implied, and has recognized rights and duties.

First-Level Outcomes

Initial results or effects of an action or decision, often serving as the immediate impacts before more complex or long-term outcomes emerge.

Second-Level Outcomes

Refers to the indirect or long-term results of an action or decision, beyond the immediate or primary effects.