Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

question 10

Multiple Choice

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

• A) \(C ( 2,2,4 ) ; r = \sqrt { 2 }\)
• B) \(C ( 0,2,4 ) ; r = 4\)
• C) \(C ( 2,4,0 ) ; r= \sqrt { 2 }\)
• D) \(C ( 2,4,0 ) ;r= 2\)
• E)none of these

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Definitions:

Intercostal Muscles

Muscles located between the ribs that help in the process of respiration, aiding in the expansion and contraction of the chest cavity.

Mandible

The lower jawbone in vertebrates, forming the lower part of the skull.

Mylohyoid

A muscle that forms the floor of the mouth, elevates the tongue, and depresses the jaw.

Masseter

A facial muscle that plays a crucial role in chewing by elevating the mandible (lower jaw).