Solve the Problem $z = x ^ { 2 } + y ^ { 2 }$

question 214

Multiple Choice

Solve the problem.
-Find the average height of the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ above the annular region $36 \leq x ^ { 2 } + y ^ { 2 } \leq 49$ in the $x y - p l a n e$ .

• A) 67
• B) \(\frac { 183 } { 2 }\)
• C) \(\frac { 121 } { 2 }\)
• D) \(\frac { 85 } { 2 }\)

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