Find the Surface Area of the Surface S $S$ Is the Paraboloid

question 65

Multiple Choice

Find the surface area of the surface S.
- $S$ is the paraboloid $x ^ { 2 } + y ^ { 2 } - z = 0$ between the planes $z = 0$ and $z = 6$ .

• A) \(\frac { 124 } { 3 } \pi\)
• B) \(\frac { 31 } { 3 } \pi\)
• C) \(\frac { 62 } { 3 } \pi\)
• D) \(31 \pi\)

---

Definitions:

Targeted

Specially chosen or selected for a specific purpose, often implying focused attention or action.

Serial Killers

Individuals who commit a series of murders over a period of time, often with a characteristic pattern or method.

Insane

A term historically used to describe severe mental disorder or illness, often implying a detachment from reality, but considered outdated and stigmatizing in modern contexts.

Death Penalty

A governmental sanction where a person is put to death by the state as punishment for a crime.