Find the Radius of the Sphere Whose Equation Is $x ^ { 2 } + 2 x + y ^ { 2 } + z ^ { 2 } = 4$

question 256

Multiple Choice

Find the radius of the sphere whose equation is $x ^ { 2 } + 2 x + y ^ { 2 } + z ^ { 2 } = 4$ .

• A)1
• B) \(\sqrt { 2 }\)
• C) \(\sqrt { 3 }\)
• D)2
• E) \(\sqrt { 5 }\)
• F) \(\sqrt { 6 }\)
• G) \(\sqrt { 7 }\)
• H) \(2 \sqrt { 2 }\)

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Definitions:

Mesa

A flat-topped hill with steep sides, commonly found in arid and semi-arid regions, formed by erosion.

Butte

A steep-sided, isolated hill or mountain with a flat top, usually formed through the erosion of sedimentary rocks.

Erosion

The process by which natural forces remove soils, rocks, or dissolved material from one location and transport it to another.

Igneous Rock

Rock formed through the cooling and solidification of magma or lava, with diverse types such as basalt and granite.