Find the Surface Area of the Part of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

question 204

Multiple Choice

Find the surface area of the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ that lies above the plane z = 1.

• A) \(( 4 - 2 \sqrt { 2 } ) \pi\)
• B)2
• C)2\(\pi\)
• D)4\(\pi\)
• E) \(( 8 - 4 \sqrt { 3 } ) \pi\)
• F)6\(\pi\)
• G)8\(\pi\)
• H)16\(\pi\)

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