Find the Area of the Surface $z = 25 - x ^ { 2 } - y ^ { 2 }$

question 24

Multiple Choice

Find the area of the surface.
The part of the surface $z = 25 - x ^ { 2 } - y ^ { 2 }$ that lies above the $x y$ -plane.

• A) \(( \sqrt { 626 } - 626 )\)
• B) \(\frac { 2 } { 75 } ( 626 \sqrt { 626 } + 1 )\)
• C) \(\frac { 2 } { 75 } \pi ( 626 \sqrt { 626 } - 1 )\)
• D) \(\frac { 2 } { 75 } ( \sqrt { 626 } + 1 )\)
• E) \(\pi ( 626 \sqrt { 626 } - 1 )\)

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