Find the Area of the Part of Hyperbolic Paraboloid $z = y ^ { 2 } - x ^ { 2 }$

question 102

Multiple Choice

Find the area of the part of hyperbolic paraboloid $z = y ^ { 2 } - x ^ { 2 }$ that lies between the cylinders $x ^ { 2 } + y ^ { 2 } = 1$ and $x ^ { 2 } + y ^ { 2 } = 9$ .

• A) \(( 82 \sqrt { 82 } - 3 \sqrt { 5 } ) \pi\)
• B) \(( 82 \sqrt { 82 } + 5 \sqrt { 5 } ) \pi\)
• C) \(\frac { 2 } { 9 }\) \(( 82 \sqrt { 82 } - 5 \sqrt { 5 } )\)
• D) \(\frac { 2 } { 9 }\) \(( 82 \sqrt { 82 } - 3 \sqrt { 5 } ) \pi\)
• E) \(\frac { 2 } { 9 }\) \(( 82 \sqrt { 82 } - 5 \sqrt { 5 } ) \pi\)

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