Find the Area of the Surface Generated by Revolving the Curve

question 104

Multiple Choice

Find the area of the surface generated by revolving the curve about the given axis. $x = 3 \cos ^ { 3 } \theta , y = 3 \sin ^ { 3 } \theta , 0 \leq \theta \leq \pi / 2$
(i) $x$ -axis;(ii) $y$ -axis

• A)(i) \(\frac { 27 } { 5 } \pi\); (ii) \(\frac { 27 } { 5 } \pi\)
• B) (i) \(\frac { 54 } { 5 } \pi\); (ii) \(\frac { 54 } { 5 } \pi\)
• C) (i) \(\frac { 27 } { 10 } \pi\);(ii) \(\frac { 27 } { 5 } \pi\)
• D) (i) \(\frac { 54 } { 5 } \pi\); (ii) \(\frac { 27 } { 5 } \pi\)
• E) (i) \(\frac { 54 } { 5 } \pi\); (ii) \(\frac { 108 } { 5 } \pi\)

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