Find the Area of the Portion of the Surface $f ( x , y ) = \sqrt { 12 - x ^ { 2 } - y ^ { 2 } } \text { that lies above }$

question 116

Multiple Choice

Find the area of the portion of the surface $f ( x , y ) = \sqrt { 12 - x ^ { 2 } - y ^ { 2 } } \text { that lies above }$ the region $R = \left\{ ( x , y ) : x ^ { 2 } + y ^ { 2 } \leq 144 \right\}$ Round your answer to two decimal places.

• A)144.00
• B)118.44
• C)904.78
• D)452.39
• E)1,421.22

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