2. A curve has equation
$$y = \sqrt { 9 - x ^ { 2 } } \quad 0 \leqslant x \leqslant 3$$
- Using calculus, show that the length of the curve is \(\frac { 3 \pi } { 2 }\)
The curve is rotated through \(2 \pi\) radians about the \(x\)-axis.
- Using calculus, find the exact area of the surface generated.
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