Find the Area of the Part of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$

question 55

Multiple Choice

Find the area of the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ above the plane z = 2.

• A)3\(\pi\)
• B)2\(\pi\)
• C)4\(\pi\)
• D)8\(\pi\)
• E)12\(\pi\)
• F)6\(\pi\)
• G)16\(\pi\)
• H)8

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Definitions:

Subduction Zone

The region where one tectonic plate moves under another, leading to volcanic activity and earthquakes.

Magma

The molten or semi-molten natural material from which all igneous rocks are derived, existing beneath the Earth's surface.

Thrust Sheets

Large sections of the earth's crust that have been moved and placed over another rock formation, typically due to compressional forces.

Subduction Zone

Regions where one tectonic plate moves under another, often associated with volcanic activity and earthquakes.