Find the Area of the Surface Generated by Revolving the Curve

question 78

Multiple Choice

Find the area of the surface generated by revolving the curve about the given axis. $x = t , y = 6 t , 0 \leq t \leq 9$
(i) $x$ -axis;(ii) $y$ -axis

• A) (i) \(486 \sqrt { 37 } \pi\); (ii) \(81 \sqrt { 37 } \pi\)
• B) (i) \(324 \sqrt { 82 } \pi\); (ii) \(36 \sqrt { 82 } \pi\)
• C) (i) \(486 \sqrt { 37 } \pi\); (ii) \(36 \sqrt { 37 } \pi\)
• D) (i) \(81 \sqrt { 37 } \pi\); (ii) \(486 \sqrt { 37 } \pi\)
• E) (i) \(324 \sqrt { 37 } \pi\); (ii) \(81 \sqrt { 37 } \pi\)

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