Find the Area of the Surface $S$ Where $S$ Is the Part of the Sphere

question 42

Short Answer

Find the area of the surface $S$ where $S$ is the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9$ that lies to the right of the $x z$ -plane and inside the cylinder $x ^ { 2 } + z ^ { 2 } = 4$ .

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Definitions:

Product

The substances that result from the completion of a chemical reaction.

Ethylene Glycol

A colorless, viscous liquid with sweet taste commonly used as an antifreeze in automobile radiators and in the manufacture of polyester fibers and resins.

Acetal-Forming Reactions

Chemical reactions that involve the conversion of aldehydes or ketones, in the presence of an alcohol, into acetals or ketals, respectively.

Organic Product

A compound containing carbon, produced as the result of an organic reaction.