Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 5 x = 0$

question 104

Multiple Choice

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 5 x = 0$

• A)Center: \(\left( \frac { 25 } { 4 } , 0,0 \right)\) Radius: \(\frac { 5 } { 2 }\)
• B)Center: \(\left( \frac { 5 } { 2 } , 0,0 \right)\) Radius: \(\frac { 5 } { 2 }\)
• C)Center: \(\left( - \frac { 5 } { 2 } , 0,0 \right)\) Radius: \(\frac { 5 } { 2 }\)
• D)Center: \(\left( \frac { 5 } { 2 } , 5,0 \right)\) Radius: \(\frac { 5 } { 2 }\)
• E)Center: \(\left( \frac { 25 } { 4 } , 0,5 \right)\) Radius: \(\frac { 5 } { 2 }\)

---

Definitions:

Reality

The state of things as they actually exist, as opposed to an idealistic or notional idea of them.

Appearances

The way in which persons or things seem to the eye or mind; the outward aspect or impression.

Parmenides

A pre-Socratic Greek philosopher who argued that reality is unchangeable, and all change is an illusion.

Unreal

Something that is imagined or fantasized and not found in reality; often used in discussions of philosophy, fiction, and art.