Solve the Problem $z = \sqrt { 36 - x ^ { 2 } - y ^ { 2 } }$

question 9

Multiple Choice

Solve the problem.
-Find the center of mass of the hemisphere of constant density bounded $z = \sqrt { 36 - x ^ { 2 } - y ^ { 2 } }$ and the $x y - p l a n e$ .

• A) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 9 } { 4 }\)
• B) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = 4\)
• C) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = \frac { 3 } { 2 }\)
• D) \(\bar { x } = 0 , \bar { y } = 0 , \bar { z } = 2\)

---

Definitions:

Negligence Liability

Legal responsibility for harm caused by failing to act as a reasonable person would under similar circumstances.

Fine Print

Small text or details in a contract or agreement that are often overlooked but can contain important legal obligations or information.

Exculpatory Clause

A contractual provision that relieves one party from liability for harm caused during the execution of the contract, within the limits of the law.

Strict Liability Clause

A legal principle that holds an individual or entity responsible for their actions or products, regardless of negligence or intent.