Find the Area of the Part of the Hemisphere $z = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } }$

question 212

Multiple Choice

Find the area of the part of the hemisphere $z = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } }$ that lies above the area inside the circle $x ^ { 2 } + y ^ { 2 } = 1$ .

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

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