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Find the Exact Area of the Surface Obtained by Rotating xx

Question 20

Multiple Choice

Find the exact area of the surface obtained by rotating the given curve about the xx -axis.
x=2cos3θ,y=2sin3θ,0θπ/2x = 2 \cos ^ { 3 } \theta , \quad y = 2 \sin ^ { 3 } \theta , \quad 0 \leq \theta \leq \pi / 2


A) 24π5\frac { 24 \pi } { 5 }
B) 18π5\frac { 18 \pi } { 5 }
C) 12π5\frac { 12 \pi } { 5 }
D) 2π4\frac { 2 \pi } { 4 }
E) None of these

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